id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
chao-dyn/9511010 | Random band matrix approach to chaotic scattering: the average
$S$-matrix and its pole distribution | Random band matrices relevant for open chaotic systems are introduced and
studied. The scattering model based on such matrices may serve for the
description of preequilibrium chaotic scattering. In the limit of a large
number of open channels we calculate the average $S$-matrix and $S$-matrix's
pole distribution which ... | 1995-12-01 | 2008-02-03 | [
"chao-dyn",
"cond-mat",
"nlin.CD",
"nucl-th"
] | D.V. Savin (Budker Institute of Nuclear Physics, Novosibirsk, Russia) |
chao-dyn/9511009 | Lindstedt series, ultraviolet divergences and Moser's theorem | Moser's invariant tori for a class of nonanalytic quasi integrable even
hamiltonian systems are shown to be analytic in the perturbation parameter. We
do so by exhibiting a summation rule for the divergent series (``Lindstedt
series") that formally define them. We find additional cancellations taking
place in the forma... | 1995-11-28 | 2008-10-09 | [
"chao-dyn",
"nlin.CD"
] | F. Bonetto, G. Gallavotti, G. Gentile, V. Mastropietro |
chao-dyn/9511008 | Maximal Lyapunov exponent at Crises | We study the variation of Lyapunov exponents of simple dynamical systems near
attractor-widening and attractor-merging crises. The largest Lyapunov exponent
has universal behaviour, showing abrupt variation as a function of the control
parameter as the system passes through the crisis point, either in the value
itself,... | 1995-11-28 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Vishal Mehra and Ramakrishna Ramaswamy (School of Physical Sciences,
Jawaharlal Nehru University, New Delhi, INDIA) |
chao-dyn/9511007 | Semiquantum Chaos in the Double-Well | The new phenomenon of semiquantum chaos is analyzed in a classically regular
double-well oscillator model. Here it arises from a doubling of the number of
effectively classical degrees of freedom, which are nonlinearly coupled in a
Gaussian variational approximation (TDHF) to full quantum mechanics. The
resulting first... | 1995-11-25 | 2009-10-28 | [
"chao-dyn",
"nlin.CD",
"quant-ph"
] | T. Blum and H.-Th. Elze |
chao-dyn/9511006 | Local Scaling in Homogeneous Hamiltonian Systems | We study the local scaling properties associated with straight line periodic
orbits in homogeneous Hamiltonian systems, whose stability undergoes repeated
oscillations as a function of one parameter. We give strong evidence of local
scaling of the Poincar\'{e} section with exponents depending simply on the
degree of ho... | 1995-11-24 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | A. Lakshminarayan, M. S. Santhanam, and V. B. Sheorey (Physical
Research Laboratory, Navarangapura, Ahmedabad, 380 009, India) |
chao-dyn/9511005 | Generalized phase transitions in finite coupled map lattices | We investigate generalized phase transitions of type localization -
delocalization from one to several Sinai-Bowen-Ruelle invariant measures in
finite networks of chaotic elements (coupled map lattices) with general graphs
of connections in the limit of weak coupling. | 1995-11-23 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Michael Blank (Russian Academy of Sci., Russia) |
chao-dyn/9511004 | Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard | The periodic orbits of the strongly chaotic cardioid billiard are studied by
introducing a binary symbolic dynamics. The corresponding partition is mapped
to a topological well-ordered symbol plane. In the symbol plane the pruning
front is obtained from orbits running either into or through the cusp. We show
that all p... | 1995-11-16 | 2013-06-25 | [
"chao-dyn",
"nlin.CD"
] | A. B\"acker and H.R. Dullin |
chao-dyn/9511003 | Bohr-Sommerfeld Quantization of Periodic Orbits | We show, that the canonical invariant part of $\hbar$ corrections to the
Gutzwiller trace formula and the Gutzwiller-Voros spectral determinant can be
computed by the Bohr-Sommerfeld quantization rules, which usually apply for
integrable systems. We argue that the information content of the classical
action and stabili... | 1995-11-16 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Gabor Vattay (Division de Physique Th\'eorique, Institut de Physique
Nucl\'eaire, Orsay Cedex, France) |
chao-dyn/9511002 | Eigenvalue spectrum of the Frobenius-Perron operator near intermittency | The spectral properties of the Frobenius-Perron operator of one-dimensional
maps are studied when approaching a weakly intermittent situation. Numerical
investigation of a particular family of maps shows that the spectrum becomes
extremely dense and the eigenfunctions become concentrated in the vicinity of
the intermit... | 1995-11-10 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Z. Kaufmann (Eotvos University, Budapest, Hungary), H. Lustfeld
(Forschungszentrum Julich, Germany), J. Bene (Eotvos University, Budapest,
Hungary) |
chao-dyn/9511001 | Thermal Fluctuations in Quantized Chaotic Systems | We consider a quantum system with $N$ degrees of freedom which is classically
chaotic. When $N$ is large, and both $\hbar$ and the quantum energy uncertainty
$\Delta E$ are small, quantum chaos theory can be used to demonstrate the
following results: (1) given a generic observable $A$, the infinite time
average $\overl... | 1995-11-10 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD",
"quant-ph"
] | Mark Srednicki |
chao-dyn/9510020 | Decay of correlations, Lyapunov exponents and anomalous diffusion in the
Sinai billiard | We compute the decay of the velocity autocorrelation function, the Lyapunov
exponent and the diffusion constant for the Sinai billiard within the framework
of dynamical zeta functions. The asymptotic decay of the velocity
autocorrelation function is found to be $C(t) \sim c(R)/t$. The Lyapunov
exponent for the correspo... | 1995-11-02 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Per Dahlqvist (Royal Institute of Technology, Stockholm) |
chao-dyn/9510019 | Stability of periodic orbits controlled by time-delay feedback | Extended time-delay auto-synchronization (ETDAS) is a promising technique for
stabilizing unstable periodic orbits in low-dimensional dynamical systems. The
technique involves continuous feedback of signals delayed by multiples of the
orbit's period in a manner that is especially well-suited for fast systems and
optica... | 1995-10-28 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Michael E. Bleich and Joshua E. S. Socolar (Dept. of Physics, Duke
University) |
chao-dyn/9510017 | Exact solutions in the FPU oscillator chain | After a brief comprehensive review of old and new results on the well known
Fermi-Pasta-Ulam (FPU) conservative system of $N$ nonlinearly coupled
oscillators, we present a compact linear mode representation of the Hamiltonian
of the FPU system with quartic nonlinearity and periodic boundary conditions,
with explicitly ... | 1995-10-27 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | P. Poggi(Dipartimento di Energetica, Universita' di Firenze, Firenze,
Italy), S. Ruffo (Dipartimento di Energetica, Universita' di Firenze, Firenze
Italy; INFN and INFM, Firenze, Italy) |
chao-dyn/9510018 | 2D Quantum Hydrogen Atom in Circularly Polarized Microwaves | The ionization of hydrogen Rydberg atoms by circularly polarized microwaves
is studied quantum mechanically in a model two dimensional atom. We apply a
combination of a transformation to the coordinate frame rotating with the
field, with complex rotation approach and representation of atomic subspace in
Sturmian-type b... | 1995-10-27 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Jakub Zakrzewski(Instytut Fizyki Mariana Smoluchowskiego, Uniwersytet
Jagiellonski, Krakow, Poland and Laboratoire Kastler--Brossel, Universit\'e
Pierre et Marie Curie, Paris, France), Robert Gebarowski(Instytut Fizyki
Mariana Smoluchowskiego, Uniwersytet Jagiellonski, Krakow, Poland; presently
at Department of... |
chao-dyn/9510016 | Sensitivity of the eigenfunctions and the level curvature distribution
in quantum billiards | In searching for the manifestations of sensitivity of the eigenfunctions in
quantum billiards (with Dirichlet boundary conditions) with respect to the
boundary data (the normal derivative) we have performed instead various
numerical tests for the Robnik billiard (quadratic conformal map of the unit
disk) for 600 shape ... | 1995-10-26 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Baowen Li and Marko Robnik (Center for Applied Mathematics and
Theoretical Physics University of Maribor, Maribor, Slovenia) |
chao-dyn/9510015 | Estimating the Attractor Dimension of the Equatorial Weather System | The correlation dimension and limit capacity serve theoretically as lower and
upper bounds, respectively, of the fractal dimension of attractors of dynamic
systems. In this paper, we show that estimates of the correlation dimension
grow rapidly with increasing noise level in the time-series, while estimates of
the limi... | 1995-10-25 | 2008-02-03 | [
"chao-dyn",
"ao-sci",
"nlin.CD"
] | Melvin Leok Boon Tiong |
chao-dyn/9510014 | A Generalization of the Theory of Normal Forms | Normal forms allow the use of a restricted class of coordinate
transformations (typically homogeneous polynomials) to put the bifurcations
found in nonlinear dynamical systems into a few standard forms. We investigate
here the consequences of relaxing the restrictions of the form of the
coordinate transformations. In t... | 1995-10-23 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | W. H. Warner, P. R. Sethna (Aerospace Engineering and Mechanics,
University of Minnesota), and James P. Sethna (Physics, Cornell University) |
chao-dyn/9510013 | Quantum Mechanics with Chaos: Correspondence Principle, Measurement and
Complexity | The true dynamical randomness is obtained as a natural fundamental property
of deterministic quantum systems. It provides quantum chaos passing to the
classical dynamical chaos under the ordinary semiclassical transition, which
extends the correspondence principle to chaotic systems. In return one should
accept the mod... | 1995-10-20 | 2008-02-03 | [
"chao-dyn",
"gr-qc",
"hep-th",
"nlin.CD",
"quant-ph"
] | Andrei P. Kirilyuk |
chao-dyn/9510012 | Rifts in Spreading Wax Layers | We report experimental results on the rift formation between two freezing wax
plates. The plates were pulled apart with constant velocity, while floating on
the melt, in a way akin to the tectonic plates of the earth's crust. At slow
spreading rates, a rift, initially perpendicular to the spreading direction,
was found... | 1995-10-19 | 2009-10-28 | [
"chao-dyn",
"nlin.CD",
"nlin.PS",
"patt-sol"
] | Rolf Ragnarsson, J. Lewis Ford, Christian D. Santangelo and Eberhard
Bodenschatz (Laboratory of Atomic and Solid State Physics, Cornell
University, Ithaca, New York) |
chao-dyn/9510011 | Dynamical behavior of a dissipative particle in a periodic potential
subject to chaotic noise: Retrieval of chaotic determinism with broken parity | Dynamical behaviors of a dissipative particle in a periodic potential subject
to chaotic noise are reported. We discovered a macroscopic symmetry breaking
effect of chaotic noise on a dissipative particle in a multi-stable systems
emerging, even when the noise has a uniform invariant density with parity
symmetry and wh... | 1995-10-17 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Tsuyoshi Hondou, Yasuji Sawada (Res. Inst. Elec. Comm., Tohoku
University, Japan) |
chao-dyn/9510010 | Helical shell models for three dimensional turbulence | In this paper we study a new class of shell models, defined in terms of two
complex dynamical variables per shell, transporting positive and negative
helicity respectively. The dynamical equations are derived from a decomposition
into helical modes of the velocity Fourier components of Navier-Stokes
equations (F. Walef... | 1995-10-16 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | R. Benzi, L. Biferale and E. Trovatore |
chao-dyn/9510009 | Intermittency, chaos and singular fluctuations in the mixed
Obukhov-Novikov shell model of turbulence | The multiscaling properties of the mixed Obukhov-Novikov shell model of
turbulence are investigated numerically and compared with those of the complex
GOY model, mostly studied in the recent years. Two types of generic singular
fluctuations are identified~: first, self-similar solutions propagating from
large to small ... | 1995-10-16 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Thierry Dombre and Jean-Louis Gilson (Centre de Recherches sur les
Tr\`es Basses Temp\'eratures, CNRS, Grenoble, France) |
chao-dyn/9510008 | Mechanisms for Stable Sonoluminescence | A gas bubble trapped in water by an oscillating acoustic field is expected to
either shrink or grow on a diffusive timescale, depending on the forcing
strength and the bubble size. At high ambient gas concentration this has long
been observed in experiments. However, recent sonoluminescence experiments show
that in cer... | 1995-10-13 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Michael Brenner (Department of Mathematics, MIT, Cambridge, MA),
Detlef Lohse (Fachbereich Physik der Universit\"at Marburg, Marburg, Germany
and Department of Mathematics, The University of Chicago, Chicago, IL), David
Oxtoby (Department of Chemistry and James Franck Institute, The University of
Chicago, Chica... |
chao-dyn/9510007 | Global Diffusion in a Realistic Three-Dimensional Time-Dependent
Nonturbulent Fluid Flow | We introduce and study the first model of an experimentally realizable
three-dimensional time-dependent nonturbulent fluid flow to display the
phenomenon of global diffusion of passive-scalar particles at arbitrarily small
values of the nonintegrable perturbation. This type of chaotic advection,
termed {\it resonance-i... | 1995-10-13 | 2016-08-15 | [
"chao-dyn",
"nlin.CD",
"physics.flu-dyn"
] | Julyan H.E. Cartwright (Departament de F\'isica, Universitat de les
Illes Balears, Palma de Mallorca, Spain), Mario Feingold (Department of
Physics, Ben-Gurion University, Beer-Sheva, Israel), and Oreste Piro
(Departament de F\'isica, Universitat de les Illes Balears, Palma de
Mallorca, Spain) |
chao-dyn/9510005 | The Level Splitting Distribution in Chaos-assisted Tunneling | A compound tunneling mechanism from one integrable region to another mediated
by a delocalized state in an intermediate chaotic region of phase space was
recently introduced to explain peculiar features of tunneling in certain
two-dimensional systems. This mechanism is known as chaos-assisted tunneling.
We study its co... | 1995-10-12 | 2016-08-16 | [
"chao-dyn",
"nlin.CD"
] | F. Leyvraz (Instituto de F\'isica--UNAM, Mexico), D. Ullmo (ATT Bell
Laboratories, New-Jersey, U.S.A.) |
chao-dyn/9510004 | Generalized scaling in fully developed turbulence | In this paper we report numerical and experimental results on the scaling
properties of the velocity turbulent fields in several flows. The limits of a
new form of scaling, named Extended Self Similarity(ESS), are discussed. We
show that, when a mean shear is absent, the self scaling exponents are
universal and they do... | 1995-10-12 | 2015-06-24 | [
"chao-dyn",
"nlin.CD"
] | R. Benzi, L. Biferale, S. Ciliberto, M.V. Struglia, R. Tripiccione |
chao-dyn/9510006 | The Role of the Environment in Chaotic Quantum Dynamics | We study how the interaction with an external incoherent environment induces
a crossover from quantum to classical behavior for a particle whose classical
motion is chaotic. Posing the problem in the semiclassical regime, we find that
noise produced by the bath coupling rather than dissipation is primarily
responsible ... | 1995-10-12 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | B. S. Helmkamp and D. A. Browne |
chao-dyn/9510003 | Multiple Transitions to Chaos in a Damped Parametrically Forced Pendulum | We study bifurcations associated with stability of the lowest stationary
point (SP) of a damped parametrically forced pendulum by varying $\omega_0$
(the natural frequency of the pendulum) and $A$ (the amplitude of the external
driving force). As $A$ is increased, the SP will restabilize after its
instability, destabil... | 1995-10-11 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Sang-Yoon Kim and Kijin Lee (Dept. of Phys., Kangwon Nat'l Univ.,
Kangwon-Do, Korea) |
chao-dyn/9510002 | Bifurcations in Globally Coupled Chaotic Maps | We propose a new method to investigate collective behavior in a network of
globally coupled chaotic elements generated by a tent map. In the limit of
large system size, the dynamics is described with the nonlinear
Frobenius-Perron equation. This equation can be transformed into a simple form
by making use of the piecew... | 1995-10-11 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Satoru Morita (Department of Physics, Graduate School of Sciences,
Kyoto University) |
chao-dyn/9510001 | Spatiotemporal bifurcations in plasma drift-waves | Experimental data from an experiment on drift--waves in plasma is presented.
The experiment provides a space--time diagnostic and has a control parameter
that permits the study of the transition from a stable plasma to a turbulent
plasma. The biorthogonal decomposition is used to analyse the data. We
introduce the noti... | 1995-10-10 | 2015-06-24 | [
"chao-dyn",
"nlin.CD"
] | Alex Madon, Thomas Klinger |
chao-dyn/9509023 | Undecidability everywhere? | We discuss the question of if and how undecidability might be translatable
into physics, in particular with respect to prediction and description, as well
as to complementarity games. | 1995-10-05 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Karl Svozil |
chao-dyn/9509022 | Infinite dimensional SRB measures | We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen
(SRB) measure for an infinite lattice of weakly coupled expanding circle maps,
and we show that this measure has exponential decay of space-time correlations.
First, using the Perron-Frobenius operator, one connects the dynamical system
of co... | 1995-10-02 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | J. Bricmont (UCL, Physique Theorique, Louvain-la-Neuve, Belgium), A.
Kupiainen (Department of Mathematics, Helsinki University, Finland) |
chao-dyn/9509021 | The Limits of Mathematics | This condensed version of chao-dyn/9509010 will be the main hand-out for a
course on algorithmic information theory to be given 22-29 May 1996 at the
Rovaniemi Institute of Technology, Rovaniemi, Finland (see announcement at
http://www.rotol.fi/ ). | 1995-09-28 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | G J Chaitin (IBM Research) |
chao-dyn/9509020 | Semiclassical Quantisation Using Diffractive Orbits | Diffraction, in the context of semiclassical mechanics, describes the manner
in which quantum mechanics smooths over discontinuities in the classical
mechanics. An important example is a billiard with sharp corners; its
semiclassical quantisation requires the inclusion of diffractive periodic
orbits in addition to clas... | 1995-09-27 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Niall D. Whelan (Niels Bohr Institute) |
chao-dyn/9509019 | Distribution of Eigenvalues for the Modular Group | The two-point correlation function of energy levels for free motion on the
modular domain, both with periodic and Dirichlet boundary conditions, are
explicitly computed using a generalization of the Hardy-Littlewood method. It
is shown that ion the limit of small separations they show an uncorrelated
behaviour and agre... | 1995-09-26 | 2016-08-15 | [
"chao-dyn",
"nlin.CD"
] | E. Bogomolny (Division de Physique Th\'eorique, Institut de Physique
Nucl\'eaire, Orsay, France), F. Leyvraz (Instituto de F\'isica, University of
Mexico, Mexico City) and C. Schmit (Division de Physique Th\'eorique,
Institut de Physique Nucl\'eaire, Orsay, France) |
chao-dyn/9509018 | Extended Self Similarity in numerical simulations of 3D anisotropic
turbulence | Using a code based on the Lattice Boltzmann Equation, we have performed
numerical simulations of a turbulent shear flow. We investigate the scaling
behaviour of the structure functions in presence of anisotropic homogeneous
turbulence, and we show that although Extended Self Similarity does not hold
when strong shear e... | 1995-09-25 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | R. Benzi, M.V. Struglia, R. Tripiccione |
chao-dyn/9509017 | Approach to ergodicity in quantum wave functions | According to theorems of Shnirelman and followers, in the semiclassical limit
the quantum wavefunctions of classically ergodic systems tend to the
microcanonical density on the energy shell. We here develop a semiclassical
theory that relates the rate of approach to the decay of certain classical
fluctuations. For unif... | 1995-09-21 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Bruno Eckhardt, Shmuel Fishman, Jonathan Keating, Oded Agam, J\"org
Main, and Kirsten M\"uller |
chao-dyn/9509016 | Is there relevance of chaos in numerical solutions of quantum billiards? | In numerically solving the Helmholtz equation inside a connected plane domain
with Dirichlet boundary conditions (the problem of the quantum billiard) one
surprisingly faces enormous difficulties if the domain has a problematic
geometry such as various nonconvex shapes. We have tested several general
numerical methods ... | 1995-09-20 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Baowen Li and Marko Robnik (Center for Applied Mathematics and
Theoretical Physics University of Maribor, Maribor, Slovenia) |
chao-dyn/9509015 | Periodic Orbit Quantization beyond Semiclassics | A quantum generalization of the semiclassical theory of Gutzwiller is given.
The new formulation leads to systematic orbit-by-orbit inclusion of higher
$\hbar$ contributions to the spectral determinant. We apply the theory to
billiard systems, and compare the periodic orbit quantization including the
first $\hbar$ cont... | 1995-09-20 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Gabor Vattay (Division de Physique Th\'eorique\cite{PU}, Institut de
Physique Nucl\'eaire, Orsay Cedex, France) Per E. Rosenqvist (Center for
Chaos and Turbulence Studies, Niels Bohr Institute, Copenhagen, Denmark) |
chao-dyn/9509014 | How to Run Algorithmic Information Theory on a Computer | Lecture given Friday 7 April 1995 at the Santa Fe Institute, Santa Fe, New
Mexico. The lecture was videotaped; this is an edited transcript. | 1995-09-18 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | G. J. Chaitin (IBM Research Division) |
chao-dyn/9509013 | A new scaling property of turbulent flows | We discuss a possible theoretical interpretation of the self scaling property
of turbulent flows (Extended Self Similarity). Our interpretation predicts
that, even in cases when ESS is not observed, a generalized self scaling, must
be observed. This prediction is checked on a number of laboratory experiments
and direct... | 1995-09-18 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | R. Benzi, L. Biferale, S. Ciliberto, R. Tripiccione and M.V. Struglia |
chao-dyn/9509012 | Recursive Proportional Feedback and its Use to Control Chaos in an
Electrochemical System | The recursive proportional feedback (RPF) algorithm for controlling chaos is
described and applied to control chemical chaos observed during the
electrodissolution of a rotating copper disk in a sodium acetate/acetic acid
buffer. Experimental evidence is presented to indicate why the RPF method was
used and the theoret... | 1995-09-16 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | R. W. Rollins, P. Parmananda, P. Sherard (Dept. of Physics, Ohio
Univ., Athens OH) and H. D. Dewald (Dept. of Chemistry, Ohio Univ., Athens
OH) |
chao-dyn/9509011 | Wigner Random Banded Matrices with Sparse Structure: Local Spectral
Density of States | Random banded matrices with linearly increasing diagonal elements are
recently considered as an attractive model for complex nuclei and atoms. Apart
from early papers by Wigner \cite{Wig} there were no analytical studies on the
subject. In this letter we present analytical and numerical results for local
spectral densi... | 1995-09-15 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Y.V.Fyodorov, O.A.Chubykalo, F.M.Izrailev and G.Casati |
chao-dyn/9509010 | The Limits of Mathematics---Tutorial Version | The latest in a series of reports presenting the information-theoretic
incompleteness theorems of algorithmic information theory via algorithms
written in specially designed versions of LISP. Previously in this LISP code
only one-character identifiers were allowed, and arithmetic had to be
programmed out. Now identifie... | 1995-09-13 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | G. J. Chaitin (IBM Research Divison) |
chao-dyn/9509009 | Trace formulas and dynamical zeta functions in the Nielsen theory | In this paper we prove the trace formulas for the Reidemeister numbers of
group endomorphisms in the following cases:the group is finitely generated and
an endomorphism is eventually commutative; the group is finite ; the group is a
direct sum of a finite group and a finitely generated free abelian group; the
group is ... | 1995-09-08 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Alexander Fel'shtyn and Richard Hill |
chao-dyn/9509008 | On the intermittent energy transfer at viscous scales in turbulent flows | In this letter we present numerical and experimental results on the scaling
properties of velocity turbulent fields in the range of scales where viscous
effects are acting. A generalized version of Extended Self Similarity capable
of describing scaling laws of the velocity structure functions down to the
smallest resol... | 1995-09-07 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | R. Benzi, L. Biferale, S. Ciliberto, M.V. Struglia and R. Tripiccione |
chao-dyn/9509007 | Anomalous Scaling Exponents of a White-Advected Passive Scalar | For Kraichnan's problem of passive scalar advection by a velocity field
delta-correlated in time, the limit of large space dimensionality $d\gg1$ is
considered. Scaling exponents of the scalar field are analytically found to be
$\zeta_{2n}=n\zeta_2-2(2-\zeta_2)n(n-1)/d$, while those of the dissipation
field are $\mu_{n... | 1995-09-07 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"hep-th",
"nlin.CD"
] | M. Chertkov and G. Falkovich |
chao-dyn/9509006 | A rigorous implementation of the Jeans--Landau--Teller approximation | Rigorous bounds on the rate of energy exchanges between vibrational and
translational degrees of freedom are established in simple classical models of
diatomic molecules. The results are in agreement with an elementary
approximation introduced by Landau and Teller. The method is perturbative
theory ``beyond all orders'... | 1995-09-06 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | G. Benettin, A. Carati, G. Gallavotti |
chao-dyn/9509005 | Edge Diffraction, Trace Formulae and the Cardioid Billiard | We study the effect of edge diffraction on the semiclassical analysis of two
dimensional quantum systems by deriving a trace formula which incorporates
paths hitting any number of vertices embedded in an arbitrary potential. This
formula is used to study the cardioid billiard, which has a single vertex. The
formula wor... | 1995-09-06 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Henrik Bruus (CNRS-CRTBT, Grenoble, France) and Niall D. Whelan (CATS,
Niels Bohr Institute, Copenhagen, Denmark) |
chao-dyn/9509002 | Anomalous Viscosity, Resistivity, and Thermal Diffusivity of the Solar
Wind Plasma | In this paper we have estimated typical anomalous viscosity, resistivity, and
thermal difffusivity of the solar wind plasma. Since the solar wind is
collsionless plasma, we have assumed that the dissipation in the solar wind
occurs at proton gyro radius through wave-particle interactions. Using this
dissipation length-... | 1995-09-05 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Mahendra K. Verma (IIT Kanpur, India) |
chao-dyn/9509003 | Direct Interaction Approximation of Magnetohydrodynamic Turbulence | In this paper we apply Kraichnan's direct interaction approximation, which is
a one loop perturbation expansion, to magnetohydrodynamic turbulence. By
substituting the energy spectra both from kolmogorov-like MHD turbulence
phenomenology and a generalization of Dobrowolny et al.'s model we obtain
Kolmogorov's and Kraic... | 1995-09-05 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Mahendra K. Verma and Jayant K. Bhattacharjee (IIT Kanpur, India) |
chao-dyn/9509001 | Computation of Kolmogorov's Constant in Magnetohydrodynamic Turbulence | In this paper we calculate Kolmogorov's constant for magnetohydrodynamic
turbulence to one loop order in perturbation theory using the direct
interaction approximation technique of Kraichnan. We have computed the
constants for various $E^u(k)/E^b(k)$, i.e., fluid to magnetic energy ratios
when the normalized cross heli... | 1995-09-05 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Mahendra K. Verma and Jayant K. Bhattacharjee (IIT Kanpur, India) |
chao-dyn/9509004 | Turbulent Heating in the Solar Wind and in the Solar Corona | In this paper we calculate the turbulent heating rates in the solar wind
using the Kolmogorov-like MHD turbulence phenomenology with Kolmogorov's
constants calculated by {\it Verma and Bhattacharjee }[1995b,c]. We find that
the turbulent heating can not account for the total heating of the
nonAlfv\'enic streams in the ... | 1995-09-05 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Mahendra K. Verma (IIT Kanpur, India) |
chao-dyn/9508008 | Bifurcation at Complex Instability | The properties of motion close to the transition of a stable family of
periodic orbits to complex instability is investigated with two symplectic 4D
mappings, natural extensions of the standard mapping. As for the other types of
instabilities new families of periodic orbits may bifurcate at the transition;
but, more ge... | 1995-08-31 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Merc\`e Oll\'e & Daniel Pfenniger |
chao-dyn/9508009 | Classical and quantum dynamics of the n-dimensional kicked rotator | The classical and quantum dynamics for an n-dimensional generalization of the
kicked planar (n=1) rotator in an additional effective centrifugal potential.
Therefore, typical phenomena like the diffusion in classical phase space are
similar to that of the one-dimensional model. For the quantum dynamics such a
result is... | 1995-08-31 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"hep-th",
"nlin.CD",
"quant-ph"
] | Georg Junker, Harald Karl and Hajo Leschke |
chao-dyn/9508007 | On the role of inviscid invariants in shell models of turbulence | Non-positive definite, global inviscid invariants similar to helicity are
discussed for two types of shell models and evidence for a new role for
helicity in Navier-Stokes turbulence is presented. It is suggested that the
extra invariants play the role of triggering the intermittent cascade of energy
to small scales ch... | 1995-08-28 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | L. Biferale and R. Kerr |
chao-dyn/9508006 | Semiclassical form factor of matrix element fluctuations | We analyze within a semiclassical approximation the form factor for the
fluctuations of quantum matrix elements around their classical average. We find
two contributions: one is proportional to the form factor for the density of
states, with an amplitude determined by the squared average of the matrix
elements. The oth... | 1995-08-17 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Bruno Eckhardt (U Oldenburg), Joerg Main (U Bochum) |
chao-dyn/9508005 | The Role of Diffraction in the Quantization of Dispersing Billiards | We study diffraction corrections to the semiclassical spectral density of
dispersing (Sinai) billiards. They modify the contributions of periodic orbits
(PO's), with at least one segment which is almost tangent to the concave part
of the boundary. Given a wavenumber $k$, all the PO's with length up to the
Heisenberg le... | 1995-08-13 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Harel Primack (1), Holger Schanz (2), Uzy Smilansky (1) and Iddo
Ussishkin (1) ((1) Department of physics of complex systems, The Weizmann
Institute, Rehovot 76100, Israel (2) Institute of Physics,
Humboldt-University, Berlin, Germany) |
chao-dyn/9508003 | Chaotic Evolution in Quantum Mechanics | A quantum system is described, whose wave function has a complexity which
increases exponentially with time. Namely, for any fixed orthonormal basis, the
number of components required for an accurate representation of the wave
function increases exponentially. | 1995-08-11 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Asher Peres |
chao-dyn/9508004 | A metaphor for adiabatic evolution to symmetry | In this paper we study a Hamiltonian system with a spatially asymmetric
potential. We are interested in the effects on the dynamics when the potential
becomes symmetric slowly in time. We focus on a highly simplified non-trivial
model problem (a metaphor) to be able to pursue explicit calculations as far as
possible. U... | 1995-08-11 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | R.J.A.G. Huveneers (University of Utrecht), F. Verhulst (University of
Utrecht) |
chao-dyn/9508001 | Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata
Machine | We demonstrate how three-dimensional fluid flow simulations can be carried
out on the Cellular Automata Machine 8 (CAM-8), a special-purpose computer for
cellular-automata computations. The principal algorithmic innovation is the use
of a lattice-gas model with a 16-bit collision operator that is specially
adapted to t... | 1995-08-04 | 2009-10-28 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | Christopher Adler (M.I.T.), Bruce M. Boghosian (Boston University),
Eirik G. Flekk{\o}y (M.I.T.), Norman Margolus (M.I.T.), Daniel H. Rothman
(M.I.T.) |
chao-dyn/9508002 | The Fourth-Order Correlation Function of a Randomly Advected Passive
Scalar | Advection of a passive scalar $\theta$ in $d=2$ by a large-scale velocity
field rapidly changing in time is considered. The Gaussian feature of the
passive scalar statistics in the convective interval was discovered in
\cite{95CFKLa}. Here we examine deviations from the Gaussianity: we obtain
analytically the simultane... | 1995-08-04 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | E. Balkovsky, M. Chertkov, I. Kolokolov and V. Lebedev |
chao-dyn/9507012 | Exactly Conservative Integrators | Traditional numerical discretizations of conservative systems generically
yield an artificial secular drift of any nonlinear invariants. In this work we
present an explicit nontraditional algorithm that exactly conserves these
invariants. We illustrate the general method by applying it to the three-wave
truncation of t... | 1995-08-03 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | B. A. Shadwick, John C. Bowman, and P. J. Morrison (Institute for
Fusion Studies, The University of Texas at Austin, Austin, TX 78712, USA) |
chao-dyn/9507011 | On inertial-range scaling laws | Inertial-range scaling laws for two- and three-dimensional turbulence are
re-examined within a unified framework. A new correction to Kolmogorov's
$k^{-5/3}$ scaling is derived for the energy inertial range. A related
modification is found to Kraichnan's logarithmically corrected two-dimensional
enstrophy-range law tha... | 1995-08-03 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | John C. Bowman (Institute for Fusion Studies, The University of Texas
at Austin, Austin, TX 78712, USA) |
chao-dyn/9507010 | A $q$-anaolg of the sixth Painlev\'e equation | A $q$-difference analog of the sixth Painlev\'e equation is presented. It
arises as the condition for preserving the connection matrix of linear
$q$-difference equations, in close analogy with the monodromy preserving
deformation of linear differential equations. The continuous limit and special
solutions in terms of $... | 1995-07-31 | 2009-10-28 | [
"chao-dyn",
"nlin.CD",
"nlin.SI",
"solv-int"
] | Michio Jimbo and Hidetaka Sakai (Department of Mathematics, Kyoto
Univ.) |
chao-dyn/9507009 | The Computational Complexity of Symbolic Dynamics at the Onset of Chaos | In a variety of studies of dynamical systems, the edge of order and chaos has
been singled out as a region of complexity. It was suggested by Wolfram, on the
basis of qualitative behaviour of cellular automata, that the computational
basis for modelling this region is the Universal Turing Machine. In this paper,
follow... | 1995-07-28 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Porus Lakdawala |
chao-dyn/9507008 | Fusion Rules in Turbulent Systems with Flux Equilibrium | Fusion rules in turbulence specify the analytic structure of many-point
correlation functions of the turbulent field when a group of coordinates
coalesce. We show that the existence of flux equilibrium in fully developed
turbulent systems combined with a direct cascade induces universal fusion
rules. In certain example... | 1995-07-27 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Victor L'vov (Departments of Physics of Complex Systems, Weizmann
Institute of Science, Rehovot, Israel) and Itamar Procaccia (Department of
Chemical Physics) |
chao-dyn/9507005 | Exact Resummations in the Theory of Hydrodynamic Turbulence: I The Ball
of Locality and Normal Scaling | This paper is the first in a series of three papers that aim at understanding
the scaling behaviour of hydrodynamic turbulence. We present in this paper a
perturbative theory for the structure functions and the response functions of
the hydrodynamic velocity field in real space and time. Starting from the
Navier-Stokes... | 1995-07-26 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Victor L'vov (Departments of Physics of Complex Systems, The Weizmann
Institute of Science, Rehovot, Israel) and Itamar Procaccia (Department of
Chemical Physics) |
chao-dyn/9507006 | Exact Resummations in the Theory of Hydrodynamic Turbulence: II A Ladder
to Anomalous Scaling | In paper I of this series on fluid turbulence we showed that exact
resummations of the perturbative theory of the structure functions of velocity
differences result in a finite (order by order) theory. These findings exclude
any known perturbative mechanism for anomalous scaling of the velocity
structure functions. In ... | 1995-07-26 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Victor L'vov (Departments of Physics of Complex Systems, The Weizmann
Institute of Science, Rehovot, Israel) and Itamar Procaccia (Department of
Chemical Physics) |
chao-dyn/9507007 | Exact Resummations in the Theory of Hydrodynamic Turbulence: III.
Scenarios for Anomalous Scaling and Intermittency | Elements of the analytic structure of anomalous scaling and intermittency in
fully developed hydrodynamic turbulence are described. We focus here on the
structure functions of velocity differences that satisfy inertial range scaling
laws $S_n(R)\sim R^{\zeta_n}$, and the correlation of energy dissipation
$K_{\epsilon\e... | 1995-07-26 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Victor L'vov (Departments of Physics of Complex Systems, The Weizmann
Institute of Science, Rehovot, Israel) and Itamar Procaccia (Department of
Chemical Physics) |
chao-dyn/9507004 | Collective Behavior of Coupled Chaotic Maps | The collective behavior of a coupled map lattice having {\it unbounded}
chaotic local dynamics is investigated through the properties of its mean
field. The presence of unstable periodic orbits in the local maps determines
the emergence of nontrivial collective behavior. Windows of collective
period-two states are foun... | 1995-07-21 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | M. G. Cosenza (Postgrado de Astrofisica, Universidad de Los Andes, A.
P. 26 La Hechicera, Merida 5251, Venezuela) |
chao-dyn/9507003 | Alternative method to find orbits in chaotic systems | We present here a new method which applies well ordered symbolic dynamics to
find unstable periodic and non-periodic orbits in a chaotic system. The method
is simple and efficient and has been successfully applied to a number of
different systems such as the H\'enon map, disk billiards, stadium billiard,
wedge billiard... | 1995-07-09 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Kai T. Hansen (University of Freiburg) |
chao-dyn/9507001 | Universal diffusion near the golden chaos border | We study local diffusion rate $D$ in Chirikov standard map near the critical
golden curve. Numerical simulations confirm the predicted exponent $\alpha=5$
for the power law decay of $D$ as approaching the golden curve via principal
resonances with period $q_n$ ($D \sim 1/q^{\alpha}_n$). The universal
self-similar struc... | 1995-07-07 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | S. Ruffo, D.L. Shepelyansky (Laboratoire de Physique Quantique,
Universite' Paul Sabatier, Toulouse, France) |
chao-dyn/9507002 | Boundary integral method applied in chaotic quantum billiards | The boundary integral method (BIM) is a formulation of Helmholtz equation in
the form of an integral equation suitable for numerical discretization to solve
the quantum billiard. This paper is an extensive numerical survey of BIM in a
variety of quantum billiards, integrable (circle, rectangle), KAM systems
(Robnik bil... | 1995-07-07 | 2008-02-03 | [
"chao-dyn",
"cond-mat",
"nlin.CD",
"quant-ph"
] | Baowen Li and Marko Robnik (Center for Applied Mathematics and
Theoretical Physics University of Maribor, Maribor, Slovenia) |
chao-dyn/9506015 | The creation of high-dimensional oscillations from low-dimensional
systems | The complication of chaotic oscillation under its transformation by linear
inertial process is discussed. It is shown that such complication is begun from
large scales of attractor and is pure dynamical process. | 1995-07-04 | 2008-02-03 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | A.A.Kipchatov and L.V.Krasichkov (College of Applied Science, Saratov
State University, 83 Astrakhanskaya, Saratov 410071, Russia) |
chao-dyn/9506014 | Chaotic Spectra of Classically Integrable Systems | We prove that any spectral sequence obeying a certain growth law is the
quantum spectrum of an equivalence class of classically integrable non-linear
oscillators. This implies that exceptions to the Berry-Tabor rule for the
distribution of quantum energy gaps of classically integrable systems, are far
more numerous tha... | 1995-07-03 | 2009-10-28 | [
"chao-dyn",
"nlin.CD",
"quant-ph"
] | P. Crehan |
chao-dyn/9506013 | Sample to sample fluctuations in fragmentation and agglomeration
processes | The fluctuations in the particle size distribution for processes of
fragmentation and aggregation are studied for stationary state regimes. The
system is described in terms of a stochastic process over an adequate tree
structure. The RMS fluctuations appear to scale with the square root of the
mean distribution, as in ... | 1995-07-02 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Piero Olla (ISIAtA Area ricerca CNR, Universita` Lecce, Italy) |
chao-dyn/9506010 | ANOMALOUS SCALING OF THE PASSIVE SCALAR | We establish anomalous inertial range scaling of structure functions for a
model of advection of a passive scalar by a random velocity field. The velocity
statistics is taken gaussian with decorrelation in time and velocity
differences scaling as $|x|^{\kappa/2}$ in space, with $0\leq\kappa < 2$. The
scalar is driven b... | 1995-06-30 | 2016-08-31 | [
"chao-dyn",
"cond-mat",
"hep-th",
"nlin.CD"
] | Krzysztof Gawedzki and Antti Kupiainen |
chao-dyn/9506011 | Interaction of Nonlinear Schr\"odinger Solitons with an External
Potential | Employing a particularly suitable higher order symplectic integration
algorithm, we integrate the 1-$d$ nonlinear Schr\"odinger equation numerically
for solitons moving in external potentials. In particular, we study the
scattering off an interface separating two regions of constant potential. We
find that the soliton ... | 1995-06-30 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Helge Frauenkron and Peter Grassberger (BUGH Wuppertal - Germany) |
chao-dyn/9506012 | Decay of Classical Chaotic Systems - the Case of the Bunimovich Stadium | The escape of an ensemble of particles from the Bunimovich stadium via a
small hole has been studied numerically. The decay probability starts out
exponentially but has an algebraic tail. The weight of the algebraic decay
tends to zero for vanishing hole size. This behaviour is explained by the slow
transport of the pa... | 1995-06-30 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | H. Alt, H.-D. Graef, R. Hofferbert, H. Rehfeld, A. Richter, P. Schardt
(Institut fuer Kernphysik, Darmstadt), H.L. Harney (MPI fuer Kernphysik,
Heidelberg) |
chao-dyn/9506009 | Lyapunov spectral analysis of a nonequilibrium Ising-like transition | By simulating a nonequilibrium coupled map lattice that undergoes an
Ising-like phase transition, we show that the Lyapunov spectrum and related
dynamical quantities such as the dimension correlation length~$\xi_\delta$ are
insensitive to the onset of long-range ferromagnetic order. As a function of
lattice coupling co... | 1995-06-29 | 2016-08-31 | [
"chao-dyn",
"comp-gas",
"cond-mat",
"nlin.CD",
"nlin.CG",
"nlin.PS",
"patt-sol"
] | Corey S. O'Hern (Department of Physics and Astronomy, University of
Pennsylvania), David A. Egolf (Laboratory of Atomic and Solid State Physics,
Cornell University), and Henry S. Greenside (Departments of Physics and
Computer Science and Center for Nonlinear and Complex Systems, Duke
University) |
chao-dyn/9506008 | Information-theoretic characterization of quantum chaos | Hypersensitivity to perturbation is a criterion for chaos based on the
question of how much information about a perturbing environment is needed to
keep the entropy of a Hamiltonian system from increasing. We demonstrate
numerically that hypersensitivity to perturbation is present in the following
quantum maps: the qua... | 1995-06-28 | 2016-08-31 | [
"chao-dyn",
"nlin.CD",
"quant-ph"
] | R. Schack and C. M. Caves (University of New Mexico) |
chao-dyn/9506007 | Direct Numerical Simulation Tests of Eddy Viscosity in Two Dimensions | Two-parametric eddy viscosity (TPEV) and other spectral characteristics of
two-dimensional (2D) turbulence in the energy transfer sub-range are calculated
from direct numerical simulation (DNS) with 512$^2$ resolution. The DNS-based
TPEV is compared with those calculated from the test field model (TFM) and from
the ren... | 1995-06-21 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | A. Chekhlov and S. A. Orszag (Program in Applied and Computational
Mathematics, Princeton University), S. Sukoriansky (Department of Mechanical
Engineering, Ben-Gurion University of the Negev), B. Galperin (Department of
Marine Science, University of South Florida, St. Petersburg), I. Staroselsky
(Cambridge Hyd... |
chao-dyn/9506006 | Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation
theorem | It is shown that the "chaoticity hypothesis", analogous to Ruelle's principle
for turbulence and recently introduced in statistical mechanics, implies the
Onsager reciprocity and the fluctuation dissipation theorem in various models
for coexisting transport phenomena. | 1995-06-18 | 2008-02-26 | [
"chao-dyn",
"nlin.CD"
] | Giovanni Gallavotti |
chao-dyn/9506005 | Enhancing Efficiency of Mixing in Chaotic Flows | We propose a mechanism by which the efficiency of mixing in chaotic flows can
be enhanced. Our mechanism consists of introducing small changes in the system
parameters in regions of phase space where the local Lyapunov exponent falls
substantially below its average value. We have applied our mechanism to several
typica... | 1995-06-14 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Neelima Gupte and R.E. Amritkar |
chao-dyn/9506004 | Methods for the analysis of the Lindstedt series for KAM tori and
renormalizability in classical mechanics | This paper consists in a unified exposition of methods and techniques of the
renormalization group approach to quantum field theory applied to classical
mechanics, and in a review of results: (1) a proof of the KAM theorem, by
studing the perturbative expansion (Lindstedt series) for the formal solution
of the equation... | 1995-06-06 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | G. Gentile (IHES), V. Mastropietro (Roma2, Matematica) |
chao-dyn/9506003 | A New Version of Algorithmic Information Theory | This material was presented in a series of lectures at the Santa Fe
Institute, the Los Alamos National Laboratory, and the University of New
Mexico, during a one-month visit to the Santa Fe Institute, April 1995. | 1995-06-05 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | G J Chaitin (IBM Research) |
chao-dyn/9506002 | Chaos for Liouville probability densities | Using the method of symbolic dynamics, we show that a large class of
classical chaotic maps exhibit exponential hypersensitivity to perturbation,
i.e., a rapid increase with time of the information needed to describe the
perturbed time evolution of the Liouville density, the information attaining
values that are expone... | 1995-06-05 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | R. Schack and C. M. Caves (University of New Mexico) |
chao-dyn/9506001 | Universal bifurcation property of two- or higher-dimensional dissipative
systems in parameter space: Why does 1D symbolic dynamics work so well? | The universal bifurcation property of the H\'enon map in parameter space is
studied with symbolic dynamics. The universal-$L$ region is defined to
characterize the bifurcation universality. It is found that the universal-$L$
region for relative small $L$ is not restricted to very small $b$ values. These
results show th... | 1995-06-02 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | H. P. Fang (Department of Physics, Fudan University, Shanghai, 200433,
China) |
chao-dyn/9505015 | Chaotic Dynamics of Binary Systems | We propose a theory of chaos for discrete systems, based on their
representation in a space of ``binary histories'', $ {\cal B^{\infty}} $. We
show that $ {\cal B^{\infty}} $ is a metrizable Cantor set which embeds the
attractor $\Lambda$, itself also a Cantor set. | 1995-06-01 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | H. Waelbroeck (Instituto de Ciencias Nucleares, UNAM, Mexico), and F.
Zertuche (Instituto de Matematicas Aplicadas y Sistemas, UNAM) |
chao-dyn/9505014 | Evolution of Liouville density of a chaotic system | An area-preserving map of the unit sphere, consisting of alternating twists
and turns, is mostly chaotic. A Liouville density on that sphere is specified
by means of its expansion into spherical harmonics. That expansion initially
necessitates only a finite number of basis functions. As the dynamical mapping
proceeds, ... | 1995-05-31 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | Asher Peres and Daniel Terno |
chao-dyn/9505013 | Chaotic principle: some applications to developed turbulence | Some models for developed turbulence are considered; they are shown to obey a
large fluctuations theorem, and one among them also obeys a response
reciprocity relation of Onsager's type. This illustrates and extends ideas and
techniques developed in earlier works mainly for non equilibrium problems in
statistical mecha... | 1995-05-27 | 2008-02-26 | [
"chao-dyn",
"nlin.CD"
] | Giovanni Gallavotti |
chao-dyn/9505012 | Thermodynamic Description of the Relaxation of Two-Dimensional Euler
Turbulence Using Tsallis Statistics | Euler turbulence has been experimentally observed to relax to a
metaequilibrium state that does not maximize the Boltzmann entropy, but rather
seems to minimize enstrophy. We show that a recent generalization of
thermodynamics and statistics due to Tsallis is capable of explaining this
phenomenon in a natural way. The ... | 1995-05-23 | 2016-08-31 | [
"chao-dyn",
"adap-org",
"astro-ph",
"cond-mat",
"nlin.AO",
"nlin.CD",
"nlin.PS",
"patt-sol"
] | Bruce M. Boghosian (Center for Computational Science, Boston
University) |
chao-dyn/9505011 | Diffractive orbits in quantum billiards | We study diffractive effects in two dimensional polygonal billiards. We
derive an analytical trace formula accounting for the role of non-classical
diffractive orbits in the quantum spectrum. As an illustration the method is
applied to a triangular billiard. | 1995-05-18 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | Nicolas Pavloff and Charles Schmit |
chao-dyn/9505010 | Disorder in the 1D spinless Holstein model | We investigate a spinless fermion system on a one dimensional lattice
interacting locally with the optical modes of a quantized phonon field: the
Holstein model. The system is shown to have a disordered ground state, for
small enough coupling, at any density. This is in contrast to the non quantized
phonon case, the st... | 1995-05-16 | 2008-02-26 | [
"chao-dyn",
"nlin.CD"
] | G. Benfatto, G. Gallavotti, L. Lebowitz |
chao-dyn/9505009 | Trace formula for an ensemble of bumpy billiards. | We study the semiclassical quantization of an ensemble of billiards with a
small random shape deformation. We derive a trace formula averaged over shape
disorder. The results are illustrated by the study of supershells in rough
metal clusters. | 1995-05-16 | 2009-10-28 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | Nicolas Pavloff |
chao-dyn/9505008 | THE CONVERGENCE OF CHAOTIC INTEGRALS | We review the convergence of chaotic integrals computed by Monte Carlo
simulation, the trace method, dynamical zeta function, and Fredholm determinant
on a simple one-dimensional example: the parabola repeller. There is a dramatic
difference in convergence between these approaches. The convergence of the
Monte Carlo me... | 1995-05-12 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | Oliver Bauer and Ronnie Mainieri (Los Alamos National Lab) |
chao-dyn/9505007 | The Origin of Non-chaotic Behavior in Identically Driven Systems | Recently it has been found that different physical systems driven by
identical random noise behave exactly identical after a long time. It is also
suggested that this is an outcome of finite precision in numerical experiments.
Here we show that the origin of the non-chaotic behavior lies in the structural
instability o... | 1995-05-12 | 2009-10-28 | [
"chao-dyn",
"nlin.CD"
] | P. M. Gade and Chaitali Basu |
chao-dyn/9505006 | Universal Behavior of Lyapunov Exponents in Unstable Systems | We calculate the Lyapunov exponents in a classical molecular dynamics
framework. The system is composed of few hundreds particles interacting either
through Yukawa (Nuclear) or Slater-Kirkwood (Atomic) forces. The forces are
chosen to give an Equation of State that resembles the nuclear and the atomic
$^4He$ Equation O... | 1995-05-10 | 2009-10-28 | [
"chao-dyn",
"nlin.CD",
"nucl-th"
] | A. Bonasera, V. Latora and A. Rapisarda |
chao-dyn/9505005 | Predictability in Systems with Many Characteristic Times: The Case of
Turbulence | In chaotic dynamical systems, an infinitesimal perturbation is exponentially
amplified at a time-rate given by the inverse of the maximum Lyapunov exponent
$\lambda$. In fully developed turbulence, $\lambda$ grows as a power of the
Reynolds number. This result could seem in contrast with phenomenological
arguments sugg... | 1995-05-10 | 2016-08-31 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | E. Aurell, G. Boffetta, A. Crisanti, G. Paladin and A. Vulpiani |
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