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
astro-ph/9401046
Can We Identify Lensed Gamma Ray Bursts?
A gravitationally lensed gamma-ray burst (GRB) would appear as multiple bursts with identical light curves, separated in time and differing only by the scaling of their amplitudes. However, noise may make them difficult to identify as lensed images. Furthermore, faint, intrinsically similar, yet distinct light curves m...
1994-01-27
2009-10-22
[ "astro-ph" ]
M.A. Nowak and S.A. Grossman
astro-ph/9401045
$\gamma$-Ray Pulsars: Emission Zones and Viewing Geometries
There are now a half dozen young pulsars detected in high energy photons by the Compton GRO, showing a variety of emission efficiencies and pulse profiles. We present here a calculation of the pattern of high energy emission on the sky in a model which posits $\gamma$-ray production by charge depleted gaps in the outer...
1994-01-25
2009-10-22
[ "astro-ph" ]
Roger W. Romani and I.-A. Yadigaroglu
astro-ph/9401043
A Standard Model Solution to the Solar Neutrino Problem?
An imroved standard solar model, with more accurate input parameters and more accurate treatment of plasma physics effects, predicts a solar neutrino flux which is consistent within experimental uncertainties with the solar neutrino observations after 1986.
1994-01-25
2009-09-25
[ "astro-ph" ]
Arnon Dar and Giora Shaviv
astro-ph/9401040
Synthesis of Galactic Stellar Populations and Expected Constraints from Infrared Surveys
Models of population synthesis for the Galaxy have been developed in order to understand galactic structure and evolution. They allow to test scenarii of evolution by comparisons between model predictions and observed distributions. Forthcoming near-infrared surveys will enormously increase the amount of information ab...
1994-01-24
2009-10-22
[ "astro-ph" ]
A.C. Robin
astro-ph/9401044
The Contribution of the Obscuring Torus to the X--Ray Spectrum of Seyfert Galaxies: A Test for the Unification Model
The presence of an obscuring torus around the nucleus of Seyfert galaxies, as supposed in the popular unification scheme, can strongly modify the X--ray spectrum for both type 1 and 2 Seyfert galaxies. We find that if the torus is Compton thick, it can scatter at small angles a significant fraction of the nuclear radia...
1994-01-24
2015-06-24
[ "astro-ph" ]
Gabriele Ghisellini, Francesco Haardt and Giorgio Matt
astro-ph/9401041
Upper Limits on Metals in Quasar Lyman-Alpha Forest Clouds: Absence of C IV Lines in Echelle Spectra
Recently Lu presented tentative evidence for C IV lines in QSO Lyman-alpha forest systems with strong lines. We have performed a similar search for C IV in our 10 km/sec echelle spectra of the bright QSO HS~1946+7658. We shifted the spectra to align the expected positions of the C IV lines in 65 Lyman-alpha systems, th...
1994-01-24
2009-10-22
[ "astro-ph" ]
D. Tytler and X.-M. Fan
astro-ph/9401042
Jordan-Brans-Dicke Stochastic Inflation
We study stochastic inflation in the presence of a dynamical gravitational constant. We describe the Arnowitt--Deser--Misner formalism for Jordan--Brans--Dicke theory of gravity with an inflaton field. The inflaton and dilaton scalar fields can be separated into coarse-grained background fields and quantum fluctuations...
1994-01-24
2009-10-22
[ "astro-ph", "gr-qc", "hep-th" ]
Juan Garcia-Bellido
astro-ph/9401039
Topological Defects in Cosmology
The scenario of a cosmology with topological defects is surveyed starting from the field theoretic aspects and ending with a description of large-scale structure formation and magnetic field generation. (Lectures delivered at ICTP, Trieste, July 1993.)
1994-01-23
2007-05-23
[ "astro-ph", "hep-ph" ]
Tanmay Vachaspati
astro-ph/9401038
Analysis of Spots in the COBE DMR First Year Anisotropy Maps
After the detection of structure in the microwave sky, the characterization of the observed features may be a useful guide to current and future experiments. The first year COBE-DMR sky maps were analyzed in order to identify the most significant hot and cold spots. The statistical significance of potential spots of co...
1994-01-23
2007-05-23
[ "astro-ph" ]
S. Torres
astro-ph/9401036
The Radio Nebula of the Soft Gamma Ray Repeater SGR 1806-20
Earlier we had suggested that G10.0-0.3, a non-thermal nebula, most likely an old supernova remnant (SNR), was associated with the soft gamma repeater (SGR) SGR 1806-20. Here we present new radio images obtained at the Very Large Array (VLA) of the non-thermal radio nebula G10.0-0.3. The nebula is a plerion with a hier...
1994-01-21
2009-10-22
[ "astro-ph" ]
S. R. Kulkarni, D. A. Frail, N. E. Kassim, T. Murakami and G. Vasisht
astro-ph/9401037
Lick Galaxy Correlation Function Revised
We re-estimate the angular 2-point galaxy correlation function from the Lick galaxy catalogue. We argue that the large-scale gradients observed in the Lick catalogue are dominated by real clustering and therefore they should not be subtracted prior to the estimation of the 2-p correlation function. We find that if no s...
1994-01-21
2007-05-23
[ "astro-ph" ]
M. Plionis and S. Borgani
astro-ph/9401035
Microlensing by the Milky Way Halo
The measurements of the possible gravitational microlensing events are analysed with a simple yet accurate disc--halo model of the Milky Way Galaxy. This comprises a luminous exponential disc embedded in a flattened dark matter halo with density varying like ${\rm distance}^{-1.8}$. Including a disc has the important e...
1994-01-19
2016-06-08
[ "astro-ph" ]
N.W.Evans, J.Jijina
astro-ph/9401034
An Outer Gap Model of High-Energy Emission from Rotation-Powered Pulsars
We describe a refined calculation of high energy emission from rotation-powered pulsars based on the Outer Gap model of Cheng, Ho \&~Ruderman (1986a,b). We have improved upon previous efforts to model the spectra from these pulsars (e. g. Cheng, et al. 1986b; Ho 1989) by following the variation in particle production a...
1994-01-18
2009-10-22
[ "astro-ph" ]
J. Chiang and R. W. Romani
astro-ph/9401033
Light Deflection in Perturbed Friedmann Universes
In this letter a new formula for light deflection is derived using only physically observable concepts. The general result is specialized to cosmological perturbation theory and expressed in terms of gauge--invariant perturbation variables. The resulting scalar, vector and tensor equations are supplemented by simple ex...
1994-01-18
2009-10-22
[ "astro-ph" ]
Ruth Durrer
astro-ph/9401028
High-Resolution Imaging of Faint Blue Galaxies
We have used HRCam on the CFHT to obtain subarcsecond images of 26 galaxies with z=0.1--0.7. The primary sample of 17 galaxies have enhanced star formation indicated by [OII] equivalent widths greater than 20\AA, while the comparison sample of 9 galaxies have equivalent widths less than 10\AA. By fitting disks or bulge...
1994-01-17
2015-06-24
[ "astro-ph" ]
Matthew Colless, David Schade, T J Broadhurst and R S Ellis
astro-ph/9401031
Fireballs and Gamma-Ray Bursts
The sudden release of copious $\g$-ray photons into a compact region creates an opaque photon--lepton fireball due to the prolific production of electron--positron pairs. The photons that we observe in the bursts emerge only at the end of the fireball phase after it expanded sufficiently to become optically thin or aft...
1994-01-17
2007-05-23
[ "astro-ph" ]
Tsvi Piran
astro-ph/9401030
Gamma-Ray Bursts from Neutron Star Mergers
Binary neutron stars merger (NS$^2$M) at cosmological distances is probably the only $\gamma$-ray bursts model based on an independently observed phenomenon which is known to be taking place at a comparable rate. We describe this model, its predictions and some open questions.
1994-01-17
2015-06-24
[ "astro-ph" ]
T. Piran
astro-ph/9401032
Merging Neutron Stars I: Initial Results for Coalescence of Non-Corotating Systems
We present 3D Newtonian simulations of the coalescence of two neutron stars, using a Smoothed Particle Hydrodynamics (SPH) code. We begin the simulations with the two stars in a hard, circular binary, and have them spiral together as angular momentum is lost through gravitational radiation at the rate predicted by mode...
1994-01-17
2009-10-22
[ "astro-ph" ]
M. B. Davies, W. Benz, T. Piran, and F. K. Thielemann
astro-ph/9401029
A Model for the Spectral Energy Distribution of the Ultraluminous Galaxy IRAS F10214+4724
If indeed early type galaxies used up most of their gas to form stars in a time short compared to their collapse time and if a roughly constant fraction of metals is locked up in dust grains, these galaxies may easily become opaque to starlight and emit most of their luminosity in the far-IR. The corresponding spectral...
1994-01-17
2016-06-08
[ "astro-ph" ]
P. Mazzei and G. De Zotti
astro-ph/9401027
Hydrodynamics of Binary Coalescence.I. Polytropes with Stiff Equations of State
We have performed a series of three-dimensional hydrodynamic calculations of binary coalescence using the smoothed particle hydrodynamics (SPH) method. The initial conditions are exact polytropic equilibrium configurations with $\gam > 5/3$, on the verge of dynamical instability. We calculate the emission of gravitatio...
1994-01-16
2011-07-18
[ "astro-ph" ]
F. A. Rasio and S. L. Shapiro
astro-ph/9401025
A comparison of one and two dimensional models of transonic accretion discs around collapsed objects
We construct models of the inner part of a transonic adiabatic accretion disc assuming constant specific angular momentum taking the vertical structure fully into account.\\ For comparison purposes, we construct the corresponding one dimensional viscous disc models derived under vertical averaging assumptions. The cond...
1994-01-16
2015-06-24
[ "astro-ph" ]
J.C.B. Papaloizou, E. Szuszkiewicz
astro-ph/9401026
Collapse of Primordial Gas Clouds and the Formation of Quasar Black Holes
The formation of quasar black holes during the hydrodynamic collapse of protogalactic gas clouds is discussed. The dissipational collapse and long- term dynamical evolution of these systems is analysed using three-dimensional numerical simulations. The calculations focus on the final collapse stages of the inner baryon...
1994-01-16
2009-10-22
[ "astro-ph" ]
A. Loeb and F. A. Rasio
astro-ph/9401023
Stochastic fluctuations and structure formation in the Universe
It is shown that the evolution of the density perturbations during certain eras of substantial entropy generation in the universe can be described in the scheme of the KPZ equation. Therefore, the influence on cosmological structure formation by stochastic forces arising from various dissipations can be studied through...
1994-01-14
2009-10-22
[ "astro-ph" ]
A. Berera and L.Z.Fang
astro-ph/9401024
The $^7$Be Solar Neutrino Line: A Reflection of the Central Temperature Distribution of the Sun
A precise test of the theory of stellar evolution can be performed by measuring the average difference in energy between the neutrino line produced by ${\rm ^7Be}$ electron capture in the solar interior and the corresponding neutrino line produced in a terrestrial laboratory. This energy shift is calculated to be 1.29~...
1994-01-14
2009-10-22
[ "astro-ph" ]
John N. Bahcall
astro-ph/9401021
Large Scale Morphological Segregation in Optically Selected Galaxy Redshift Catalogs
We present the results of an exhaustive analysis of the morphological segregation of galaxies in the CfA and SSRS catalogs through the scaling formalism. Morphological segregation between ellipticals and spirals has been detected at scales up to 15-20 h$^{-1}$ Mpc in the CfA catalog, and up to 20-30 h$^{-1}$ Mpc in the...
1994-01-13
2009-10-22
[ "astro-ph" ]
R. Dominguez-Tenreiro, A. Campos, M.A. G\'omez-Flechoso and G. Yepes
astro-ph/9401022
Dynamics of Cosmic Flows
CONTENTS: 1. INTRODUCTION 2. GRAVITATIONAL INSTABILITY 3. MEASURING PECULIAR VELOCITIES 4. ANALYSIS OF OBSERVED PECULIAR VELOCITIES 5. PREDICTED MOTIONS FROM THE GALAXY DISTRIBUTION 6. TESTING BASIC HYPOTHESES 7. THE INITIAL FLUCTUATIONS 8. THE VALUE OF OMEGA 9. DISCUSSION: ARE THE HYPOTHESES JUSTIFIED? REFERENCES
1994-01-13
2009-10-22
[ "astro-ph", "gr-qc", "hep-ph" ]
Avishai Dekel
astro-ph/9401020
A Spectroscopic Method to Measure Macho Proper Motions
A Massive Compact Halo Object (Macho) that lenses a background star will magnify different parts of the rotating stellar disk by varying amounts. The differential magnification will cause a shift in the centroid of the star's spectral lines during the lensing event. The shift is proportional to the ratio of the stellar...
1994-01-12
2009-10-22
[ "astro-ph" ]
Dan Maoz and Andrew Gould
astro-ph/9401018
A NLTE study of neutral boron in solar-type stars
The formation of the resonance lines of neutral boron in solar-type stellar atmospheres is investigated taking into account effects of departures from local thermodynamic equilibrium (NLTE effects). The latter are due to a combination of overionisation and optical pumping in resonance lines, both caused by the hot, non...
1994-01-12
2007-05-23
[ "astro-ph" ]
Dan Kiselman
astro-ph/9401019
Empirical Constraints on Cosmological Gamma-Ray Bursts
We place empirical constraints on the physical properties of $\gamma-$ray burst events at cosmological distances. In particular we derive probability distributions for the radiation energy $E_\gamma$, the minimum Lorentz factor $\gamma_{\rm min}$, the maximum baryonic mass $M_{\rm max}$ and the upper bound on the surro...
1994-01-12
2016-08-30
[ "astro-ph" ]
Eric Woods and Abraham Loeb
astro-ph/9401017
Modelling the Power Spectrum of Density Fluctuations: A Phenomenological Approach
We show how, based on considerations on the observed form of the galaxy 2-point spatial correlation function xi(r), a very simplified -- yet surprisingly effective -- model for the linear density fluctuations power spectrum can be constructed. We first relate the observed large-scale shape of xi(r) to a power-law form ...
1994-01-12
2009-10-22
[ "astro-ph" ]
Enzo Branchini, Luigi Guzzo & Riccardo Valdarnini
astro-ph/9401014
Observational Constraints on the Spectral Index
We address the possibility of bounding the spectral index $n$ of primordial density fluctuations, using both the cosmic microwave background (cmb) anisotropy and data on galaxies and clusters. Each piece of galaxy and cluster data is reduced to a value of $\sigma(R)$ (the linearly evolved {\em rms} density contrast wit...
1994-01-11
2008-02-03
[ "astro-ph", "hep-ph" ]
Andrew R Liddle and David H Lyth
astro-ph/9401016
Origin of Quasar Progenitors from the Collapse of Low-Spin Cosmological Perturbations
We show that seeds for quasar black holes could have originated from the initial cosmological collapse of overdense regions with unusually small rotation. The gas in these rare regions collapses into a compact disk that shrinks on a short viscous time scale. Using an analytical model, we calculate the low-spin tail of ...
1994-01-11
2009-09-25
[ "astro-ph" ]
Daniel J. Eisenstein and Abraham Loeb (Harvard Univ.)
astro-ph/9401015
Angular Power Spectrum of the Microwave Background Anisotropy seen by the COBE Differential Microwave Radiometer
The angular power spectrum estimator developed by Peebles (1973) and Hauser & Peebles (1973) has been modified and applied to the 2 year maps produced by the COBE DMR. The power spectrum of the real sky has been compared to the power spectra of a large number of simulated random skies produced with noise equal to the o...
1994-01-11
2009-09-25
[ "astro-ph" ]
E. L. Wright, G. F. Smoot, C. L. Bennett and P. M. Lubin
astro-ph/9401013
Time delay controversy on QSO 0957+561 not yet decided
We present a new analysis of previously published optical and radio data sets of the gravitationally lensed quasar 0957+561 A,B with the aim of determining the time delay between its two images. We use a non-parametric estimate of the dispersion of the combined data set where, however, we only make use of alternating n...
1994-01-11
2007-05-23
[ "astro-ph" ]
J.Pelt, W.Hoff, R.Kayser, S.Refsdal, and T.Schramm
astro-ph/9401011
False Vacuum Inflation with Einstein Gravity
We investigate chaotic inflation models with two scalar fields, such that one field (the inflaton) rolls while the other is trapped in a false vacuum state. The false vacuum becomes unstable when the inflaton field falls below some critical value, and a first or second order transition to the true vacuum ensues. Partic...
1994-01-10
2009-10-22
[ "astro-ph", "gr-qc", "hep-th" ]
Edmund J Copeland, Andrew R Liddle, David H Lyth, Ewan D Stewart and David Wands
astro-ph/9401009
The virial theorem for action-governed theories
We describe a simple derivation of virial relations (VR) for arbitrary action-governed systems. These follow directly from the action with no need to go via the equations of motion. When some of the degrees of freedom are of the same type a tensor virial theorem presents itself. Further generalizations are discussed. ...
1994-01-10
2009-10-22
[ "astro-ph", "gr-qc" ]
M. Milgrom
astro-ph/9401012
Cosmic Temperature Fluctuations from Two Years of COBE DMR Observations
The first two years of COBE DMR observations of the CMB anisotropy are analyzed and compared with our previously published first year results. The results are consistent, but the addition of the second year of data increases the precision and accuracy of the detected CMB temperature fluctuations. The two-year 53 GHz da...
1994-01-10
2008-11-26
[ "astro-ph" ]
C. Bennett, A. Kogut, G. Hinshaw, A. Banday, E. Wright, K. Gorski, D. Wilkinson, R. Weiss, G. Smoot, S. Meyer, J. Mather, P. Lubin, K. Loewenstein, C. Lineweaver, P. Keegstra, E. Kaita, P. Jackson, E. Cheng
astro-ph/9401010
Radio Emitting Dust in the Free-Electron Layer of Spiral Galaxies: Testing the Disk/Halo Interface
We present a study of the radio emission from rotating, charged dust grains immersed in the ionized gas constituting the thick, H$\alpha$-emitting disk of many spiral galaxies. Using up-to-date optical constants, the charge on the grains exposed to the diffuse galactic UV flux has been calculated. An analytical approxi...
1994-01-10
2009-10-22
[ "astro-ph" ]
A. Ferrara & R.J. Dettmar
astro-ph/9401007
Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
We present a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. We first derive the transformation law relating the two gauges. We then write down in parallel in both gauges the coupled, linearized Boltzmann, Eins...
1994-01-07
2009-10-22
[ "astro-ph", "gr-qc", "hep-ph" ]
Chung-Pei Ma and Edmund Bertschinger
astro-ph/9401006
The Scalar Field Potential in Inflationary Models: Reconstruction and Further Constraints
In this paper, we present quantitative constraints on the scalar field potential for a general class of inflationary models. (1) We first consider the reconstruction of the inflationary potential for given primordial density fluctuation spectra. Our work differs from previous work on reconstruction in that we find a se...
1994-01-07
2009-10-22
[ "astro-ph" ]
Fred C. Adams and Katherine Freese
astro-ph/9401008
The Origin of the Magellanic Stream
SHORTENED ABSTRACT: We present numerical investigations designed to critically test models of the origin of the Magellanic Stream. The most developed model is the tidal model which fails to reproduce several of its characteristic properties. We suggest an alternative model for the origin of the Stream which can explain...
1994-01-07
2015-06-24
[ "astro-ph" ]
Ben Moore and Marc Davis
astro-ph/9401005
Finite Source Sizes and the Information Content of MACHO-Type Lens Search Light Curves
If the dark halo matter is primarily composed of MACHOs toward the lower end of the possible detection range ($ < 10^{-3}$ $M_{\odot}$) a fraction of the lens detection events should involve the lens crossing directly in front of the disk of the background star. Previously, Nemiroff (1987) has shown that each crossing ...
1994-01-05
2009-10-22
[ "astro-ph" ]
Robert J. Nemiroff (NASA/GSFC and George Mason U.) and W.A.D. Thulsi Wickramasinghe (U. Penn)
astro-ph/9401003
Small-Scale Cosmic Microwave Background Anisotropies as a Probe of the Geometry of the Universe
We perform detailed calculations of cosmic microwave background (CMB) anisotropies in a CDM-dominated open universe with primordial adiabatic density perturbations for a variety of reionization histories. We show that to a great extent, the CMB anisotropies depend only on the geometry of the Universe, which in a matter...
1994-01-04
2009-10-22
[ "astro-ph", "hep-ph" ]
Marc Kamionkowski, David N. Spergel, and Naoshi Sugiyama
astro-ph/9401004
Causality in Strong Shear Flows
It is well known that the standard transport equations violate causality when gradients are large or when temporal variations are rapid. We derive a modified set of transport equations that satisfy causality. These equations are obtained from the underlying Boltzmann equation. We use a simple model for particle collisi...
1994-01-04
2009-10-22
[ "astro-ph" ]
Ramesh Narayan, Abraham Loeb, and Pawan Kumar
astro-ph/9401002
Nucleation of quark matter bubbles in neutron stars
The thermal nucleation of quark matter bubbles inside neutron stars is examined for various temperatures which the star may realistically encounter during its lifetime. It is found that for a bag constant less than a critical value, a very large part of the star will be converted into the quark phase within a fraction ...
1994-01-03
2009-12-30
[ "astro-ph", "hep-ph" ]
Michael L. Olesen and Jes Madsen
astro-ph/9401001
Large-Scale Mass Distribution Behind the Galactic Plane
We map the smoothed mass-density distribution in the Galactic zone of avoidance (zoa), within $6000\kms$ of the Local Group, using potent reconstruction from peculiar velocities of galaxies. The interpolation into the zoa is based on the assumed gravitational nature of the velocity field implying a potential flow. The ...
1994-01-03
2015-06-24
[ "astro-ph" ]
Tsafrir Kolatt, Avishai Dekel and Ofer Lahav
chao-dyn/9412013
Mean Field Theory for Lyapunov Exponents and KS Entropy in Lorentz Lattice Gases
Cellular automata lattice gases are useful systems for systematically exploring the connections between non-equilibrium statisitcal mechanics and dynamical systems theory. Here the chaotic properties of a Lorentz lattice gas are studied analytically and by computer simulations. The escape-rates, Lyapunov exponents, and...
1994-12-26
2019-08-17
[ "chao-dyn", "comp-gas", "nlin.CD", "nlin.CG" ]
M.H. Ernst, J.R. Dorfman, R. Nix, and D. Jacobs (Inst. for Theor. Physics, Univ.of Utrecht, The Netherlands)
chao-dyn/9412012
Lyapunov Exponents and KS Entropy for the Lorentz Gas at Low Densities
The Lyapunov exponents and the KS entropy for a two dimensional Lorentz gas at low densities are defined for general non-equilibrium states and calculated with the use of a Lorentz-Boltzmann type equation. In equilibrium the density dependence of these quantities predicted by Krylov is recovered and explicit expression...
1994-12-26
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Henk van Beijeren (Inst.Theor.Physics,Utrecht) and J.R. Dorfman (IPST, Maryland)
chao-dyn/9412009
On the local Hamiltonian structure of vector fields
We derive a canonical form for smooth vector fields on $\Re^{n+1}$. We use this to demonstrate the local multi-Hamiltonian nature of the corresponding flows. Associated with the canonical form is an inhomogenious linear PDE whose solutions provide conserved measures. These can be used to construct the local Hamiltonian...
1994-12-17
2009-10-22
[ "chao-dyn", "nlin.CD", "nlin.SI", "solv-int" ]
P. Crehan
chao-dyn/9412010
When are vector fields Hamiltonian?
Dynamical systems can be quantised only if they are Hamiltonian. This prompts the question from which our talk gets its title. We show how the simple predator-prey equation and the damped harmonic oscillator can be considered to be Hamiltonian with respect to an infinite number of non-standard Poisson brackets. This ra...
1994-12-17
2008-02-03
[ "chao-dyn", "nlin.CD" ]
P. Crehan
chao-dyn/9412011
The Crucial Formula for Determination of the Occurrence of the Non-Chaotic States in the rf-biased Nonlinear Oscillators
The crucial formulas to determine the non-chaotic states in the rf-biased nonlinear oscillators are derived from the numerical experiments. The nature of these formulas, which depends on symmetrical properties of the potential well, in terms of the driven-frequency as a function of the damping constant k is investigate...
1994-12-17
2009-10-22
[ "chao-dyn", "nlin.CD" ]
T.H. Yang, C.S. Wang, J.C. Huang, Y.S. Gou
chao-dyn/9412008
Cycle expansions with pruned orbits have branch points
Cycle expansions are an efficient scheme for computing the properties of chaotic systems. When enumerating the orbits for a cycle expansion not all orbits that one would expect at first are present --- some are pruned. This pruning leads to convergence difficulties when computing properties of chaotic systems. In numer...
1994-12-15
2015-06-24
[ "chao-dyn", "nlin.CD" ]
Ronnie Mainieri (Los Alamos National Lab)
chao-dyn/9412007
Spectral Statistics in the Quantized Cardioid Billiard
The spectral statistics in the strongly chaotic cardioid billiard are studied. The analysis is based on the first 11000 quantal energy levels for odd and even symmetry respectively. It is found that the level-spacing distribution is in good agreement with the GOE distribution of random-matrix theory. In case of the num...
1994-12-14
2009-10-22
[ "chao-dyn", "nlin.CD" ]
A. Baecker, F. Steiner (II. Institut fuer Theoretische Physik, Universitaet Hamburg) and P. Stifter (Abteilung fuer Quantenphysik, Universitaet Ulm)
chao-dyn/9412006
Estimation of embedding dimension by experimental data. Part 1
In connection with the investigations of initial stages of appearance of turbulence in the current-carrying mediums and also the investigations of relaxation oscillations in thin-film bridges of high-temperature superconductor $Y Ba_2 Cu_3 O_{7-x}$ some problems of estimation of asymptotical parameters of chaotic dynam...
1994-12-14
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Konstantin E. Bobrov, Nickolas B. Volkov, Alexander M. Iskoldsky, Vyacheslav N. Skokov
chao-dyn/9412005
Numerical Renormalization Group Calculations For Similarity Solutions and Travelling Waves
We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for a large class of well-localized initial conditions, successive iterations of an appropriately defined discrete RG transformation in space a...
1994-12-09
2009-10-22
[ "chao-dyn", "cond-mat", "gr-qc", "nlin.CD" ]
Lin-Yuan Chen(Institute for Theoretical Physics, Santa Barbara), Nigel Goldenfeld(Department of Physics, University of Illinois at Urbana-Champaign)
chao-dyn/9412004
Gaussian Fluctuation in Random Matrices
Let $N(L)$ be the number of eigenvalues, in an interval of length $L$, of a matrix chosen at random from the Gaussian Orthogonal, Unitary or Symplectic ensembles of ${\cal N}$ by ${\cal N}$ matrices, in the limit ${\cal N}\rightarrow\infty$. We prove that $[N(L) - \langle N(L)\rangle]/\sqrt{\log L}$ has a Gaussian dist...
1994-12-06
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Ovidiu Costin (Department of Mathematics, Rutgers University), Joel L. Lebowitz (Department of Mathematics and Physics, Rutgers University)
chao-dyn/9412003
Global Existence and Large Time Asymptotic Bounds of $L^{infty}$ Solutions of Thermal Diffusive Combustion Systems on $R^{n}$
We consider the initial value problem for the thermal-diffusive combustion systems of the form: $u_{1,t}= Delta_{x}u_1 - u_1 u_2^m$, $u_{2,t}= d Delta_{x} u_2 + u_1 u_2^m$, $x in R^{n}$, $n geq 1$, $m geq 1$, $d > 1$, with bounded uniformly continuous nonnegative initial data. For such initial data, solutions can...
1994-12-05
2016-08-31
[ "chao-dyn", "nlin.CD" ]
P. Collet (Centre de Physique Th'eorique Laboratoire CNRS, Ecole Polytechnique, Palaiseau, France.), J. Xin (Department of Mathematics University of Arizona Tucson, AZ)
chao-dyn/9412001
Geometric and Diffractive Orbits in the Scattering from Confocal Hyperbolae
We study the scattering resonances between two confocal hyperbolae and show that the spectrum is dominated by the effect of a single periodic orbit. There are two distinct cases depending on whether the orbit is geometric or diffractive. A generalization of periodic orbit theory allows us to incorporate the second poss...
1994-12-02
2009-10-22
[ "chao-dyn", "nlin.CD" ]
N.D. Whelan (Niels Bohr Institute)
chao-dyn/9412002
The Construction of Zonal Models of Dispersion in Channels via Matched Centre Manifolds
Taylor's model of dispersion simply describes the long-term spread of material along a pipe, channel or river. However, often we need multi-mode models to resolve finer details in space and time. Here we construct zonal models of dispersion via the new principle of matching their long-term evolution with that of the or...
1994-12-02
2008-02-03
[ "chao-dyn", "nlin.CD" ]
S.D. Watt (University of Melbourne), A.J. Roberts (University of Southern Queensland)
chao-dyn/9411024
Decay of the Sinai Well in D dimensions
We study the decay law of the Sinai Well in $D$ dimensions and relate the behavior of the decay law to internal distributions that characterize the dynamics of the system. We show that the long time tail of the decay is algebraic ($1/t$), irrespective of the dimension $D$.
1994-11-30
2016-08-14
[ "chao-dyn", "nlin.CD" ]
A.J.Fendrik and M.J.S\'anchez (Departamento de F\'isica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires,Argentina)
chao-dyn/9411023
On the Role of Non-Periodic Orbits in The Semiclassical Quantization of the Truncated Hyperbola Billiard
Based on an accurate computation of the first 1851 quantal energy levels of the truncated hyperbola billiard, we have found an anomalous long-range modulation in the integrated level density. It is shown that the observed anomaly can be explained by an additional term in Gutzwiller's trace formula. This term is given a...
1994-11-29
2009-10-22
[ "chao-dyn", "nlin.CD" ]
R. Aurich, T. Hesse, and F. Steiner (II. Institut fuer Theoretische Physik, Universitaet Hamburg)
chao-dyn/9411022
Dynamical systems theory for music dynamics
We show that, when music pieces are cast in the form of time series of pitch variations, the concepts and tools of dynamical systems theory can be applied to the analysis of {\it temporal dynamics} in music. (i) Phase space portraits are constructed from the time series wherefrom the dimensionality is evaluated as a me...
1994-11-26
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Jean Pierre Boon and Olivier Decroly (Physique Nonlin\'eaire et M\'ecanique Statistique, Universit\'e libre de Bruxelles, Bruxelles, Belgium)
chao-dyn/9411021
Initial Conditions for Models of Dynamical Systems
The long-time behaviour of many dynamical systems may be effectively predicted by a low-dimensional model that describes the evolution of a reduced set of variables. We consider the question of how to equip such a low-dimensional model with appropriate initial conditions, so that it faithfully reproduces the long-term ...
1994-11-25
2015-06-24
[ "chao-dyn", "nlin.CD" ]
Stephen M. Cox (University of Nottingham), A. J. Roberts (University of Southern Queensland)
chao-dyn/9411020
Anomalous Scaling in Kolmogorov--1941 Turbulence
We show that the Kolmogorov-1941 picture of fully developed hydrodynamic turbulence (with the scaling of the structure functions $S_n(R) \propto R^{n/3}$) necessarily leads to an anomalous scaling for correlation functions which include the rate of energy dissipation $\varepsilon (t,{\bf r})$, these correlation functio...
1994-11-24
2009-10-22
[ "chao-dyn", "nlin.CD" ]
V.S L'vov and V.V Lebedev
chao-dyn/9411019
Uniform Semiclassical Wavepacket Propagation and Eigenstate Extraction in a Smooth Chaotic System
A uniform semiclassical propagator is used to time evolve a wavepacket in a smooth Hamiltonian system at energies for which the underlying classical motion is chaotic. The propagated wavepacket is Fourier transformed to yield a scarred eigenstate.
1994-11-16
2009-10-22
[ "chao-dyn", "chem-ph", "nlin.CD" ]
Daniel Provost and Paul Brumer (Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Canada)
chao-dyn/9411017
Discrete Symmetries in the Weyl Expansion for Quantum Billiards
We consider two and three-dimensional quantum billiards with discrete symmetries. We derive the first terms of the Weyl expansion for the level density projected onto the irreducible representations of the symmetry group. As an illustration the method is applied to the icosahedral billiard. The paper was published in J...
1994-11-15
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Nicolas Pavloff
chao-dyn/9411016
Periodic orbits of the integrable Swinging Atwood's Machine
Solutions in terms of Elliptic Functions are provided for SAM in the integrable case where the mass ration equals three. My last SAM paper (I promise). To appear in The American Journal of Physics.
1994-11-15
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411018
A closure model for intermittency in three dimensional incompressible turbulence
A simplified Lagrangean closure for the Navier-Stokes equation is used to study the production of intermittency in the inertial range of three dimensional turbulence. This is done using localized wavepackets following the fluid rather than a standard Fourier basis. In this formulation, the equation for the energy trans...
1994-11-15
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Piero Olla (The James Franck Institute, The University of Chicago)
chao-dyn/9411015
Renormalizing Partial Differential Equations
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fron...
1994-11-14
2009-10-22
[ "chao-dyn", "nlin.CD" ]
J.Bricmont (UCL, Physique Th\'eorique, B-1348, Louvain-la-Neuve, Belgium) A.Kupiainen (Helsinki University, Department of Mathematics, Helsinki 00014, Finland)
chao-dyn/9411013
Extension of ``Renormalization of period doubling in symmetric volume-preserving maps''
We numerically reexamine the scaling behavior of period doublings in four-dimensional volume-preserving maps in order to resolve a discrepancy between numerical results on scaling of the coupling parameter and the approximate renormalization results reported by Mao and Greene [Phys. Rev. A {\bf 35}, 3911 (1987)]. In or...
1994-11-14
2009-10-22
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Sang-Yoon Kim (Dept. of Phys., Kangwon Nat'l Univ., Chunchon Kangwon-Do 200-701, Korea)
chao-dyn/9411014
Equations for Turbulent Flood Waves
Long waves in rivers, estuaries and floods are described by the St Venant and Boussinesq equations in classical fluid dynamics. Based on the widely used $k$-$\epsilon$ model for turbulence, we use the techniques of centre manifold theory to show how these classical models can be derived from a unified approach to low-d...
1994-11-14
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Z. MEI (University of Marburg), A.J. ROBERTS (University of Southern Queensland)
chao-dyn/9411010
The effects of additive noise and drift in the dynamics of the driving on chaotic synchronization
Analysis of effects of noise and drift on chaotic synchronization. To appear in Physics Letters.
1994-11-12
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411011
Synchronization of chaotic systems: the effects of additive noise and drift in the dynamics and driving
To appear in Physical Review E. Contains some analysis of experimental (mechanical) string data.
1994-11-12
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411012
Topological time series analysis of a string experiment and its synchronized model
Template and prunning front are calculated for an experimental chaotic time series from a mechanical string experiment. An empirical synchronized model is also created for the data set. To appear in Physical Review E.
1994-11-12
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411009
Comment on "Bouncing ball with finite restitution ..."
Some misleading statements in a recent paper in PRE are corrected.
1994-11-12
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411008
Braid analysis of chaos
The (forced) periodic orbit spectrum is calculated for a chaotic time series (BZ reaction).
1994-11-12
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411007
Braid analysis of a bouncing ball
Prunning front is calculated for a bouncing ball system and the results are compared to a braid analysis. To Appear in Physical Review E.
1994-11-12
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Nicholas B. Tufillaro
chao-dyn/9411006
Linear And Nonlinear Mechanisms Of Information Propagation
The mechanisms of information transmission are investigated in a lattice of coupled continuous maps, by analyzing the propagation of both finite and infinitesimal disturbances. Two distinct regimes are detected: in the former case, both classes of perturbations spread with the same velocity; in the latter case, finite ...
1994-11-10
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Antonio Politi ( Istituto Nazionale di Ottica, I-50125 Firenze, Italy) Alessandro Torcini (Dipartimento di Fisica, Universit\`a di Firenze; INFM and GNSM - Sezione di Firenze; I.T.G. "A. Gramsci", I-50047 Prato, Italy)
chao-dyn/9411005
A generating partition for the standard map
A procedure to obtain the symbolic dynamics for conservative dynamical systems is introduced with reference to the standard map in a strongly chaotic regime. The method extends an approach previously developed for highly dissipative systems. It is based on the construction of a generating partition from homoclinic tang...
1994-11-09
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Freddy Christiansen and Antonio Politi, Istituto Nazionale di Ottica, Firenze, Italy
chao-dyn/9411004
Semiquantum Chaos and the Large N Expansion
We consider the dynamical system consisting of a quantum degree of freedom $A$ interacting with $N$ quantum oscillators described by the Lagrangian \bq L = {1\over 2}\dot{A}^2 + \sum_{i=1}^{N} \left\{{1\over 2}\dot{x}_i^2 - {1\over 2}( m^2 + e^2 A^2)x_i^2 \right\}. \eq In the limit $N \rightarrow \infty$, with $e^2 N$ ...
1994-11-08
2015-06-24
[ "chao-dyn", "nlin.CD" ]
Fred Cooper, John Dawson, Salman Habib, Yuval Kluger, Dawn Meredith, and Harvey Shepard
chao-dyn/9411002
Critical behavior of period doubling in coupled area-preserving maps
We study the critical behavior of period doublings in $N$ symmetrically coupled area-preserving maps for many-coupled cases with $N>3$. It is found that the critical scaling behaviors depend on the range of coupling interaction. In the extreme long-range case of global coupling, in which each area-preserving map is cou...
1994-11-06
2009-10-22
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Sang-Yoon Kim (Dept. of Phys., Kangwon Nat'l Univ., Chunchon Kangwon-Do 200-701, Korea)
chao-dyn/9411003
M-furcations in coupled maps
We study the scaling behavior of $M$-furcation $(M\!=\!2, 3, 4,\dots)$ sequences of $M^n$-period $(n=1,2,\dots)$ orbits in two coupled one-dimensional (1D) maps. Using a renormalization method, how the scaling behavior depends on $M$ is particularly investigated in the zero-coupling case in which the two 1D maps become...
1994-11-06
2009-10-22
[ "chao-dyn", "cond-mat", "nlin.CD" ]
Sang-Yoon Kim (Dept. of Phys., Kangwon Nat'l Univ., Chunchon Kangwon-Do 200-701, Korea)
chao-dyn/9411001
Long-wave models of thin film fluid dynamics
Centre manifold techniques are used to derive rationally a description of the dynamics of thin films of fluid. The derived model is based on the free-surface $\eta(x,t)$ and the vertically averaged horizontal velocity $\avu(x,t)$. The approach appears to converge well and has significant differences from conventional d...
1994-11-04
2008-02-03
[ "chao-dyn", "nlin.CD" ]
A.J. Roberts (University of Southern Queensland)
chao-dyn/9410011
Computation of Lie Transformations from a Power Series: Bounds and Optimum Truncation
The problem considered is the computation of an infinite product (composition) of Lie transformations generated by homogeneous polynomials of increasing order from a given convergent power series. Bounds are computed for the infinitesimal form of Lie transformations. The results obtained do not guarantee convergence of...
1994-11-03
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Ivan Gjaja (Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545)
chao-dyn/9410010
Bifurcations of homoclinic orbits in bimodal maps
We discuss the bifurcation structure of homoclinic orbits in bimodal one dimensional maps. The universal structure of these bifurcations with singular bifurcation points and the web of bifurcation lines through the parameter space are described. The bifurcations depend on two parameters (codimension 2 bifurcations). We...
1994-11-03
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Kai T. Hansen (University of Oslo)
chao-dyn/9410009
Origin of Crack Tip Instabilities
This paper demonstrates that rapid fracture of ideal brittle lattices naturally involves phenomena long seen in experiment, but which have been hard to understand from a continuum point of view. These idealized models do not mimic realistic microstructure, but can be solved exactly and understood completely. First it i...
1994-11-02
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Michael Marder and Steve Gross
chao-dyn/9410007
Dynamical Ensembles in Nonequilibrium Statistical Mechanics
Ruelle's principle for turbulence leading to what is usually called the Sinai-Ruelle-Bowen distribution (SRB) is applied to the statistical mechanics of many particle systems in nonequilibrium stationary states. A specific prediction, obtained without the need to construct explicitly the SRB itself, is shown to be in a...
1994-10-30
2009-10-22
[ "chao-dyn", "nlin.CD" ]
G. Gallavotti, E.G.D.Cohen
chao-dyn/9410008
Topics in chaotic dynamics
Various kinematical quantities associated with the statistical properties of dynamical systems are examined: statistics of the motion, dynamical bases and Lyapunov exponents. Markov partitons for chaotic systems, without any attempt at describing ``optimal results''. The Ruelle principle is illustrated via its relation...
1994-10-30
2009-10-22
[ "chao-dyn", "nlin.CD" ]
G. Gallavotti
chao-dyn/9410006
The Breakdown of Dynamic Scaling and Intermittency in a Cascade Model of Turbulence
We present an analytic and numerical analysis of the Gledzer-Ohkitani-Yamada (GOY) cascade model for turbulence. We concentrate on the dynamic correlations, and demonstrate both numerically and analytically, using resummed perturbation theory, that the correlations do not follow a dynamic scaling ansatz. The basic reas...
1994-10-25
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Omri Gat(1), Itamar Procaccia(1), Reuven Zeitak(1) ((1) Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel)
chao-dyn/9410005
Passive Scalars and Three-Dimensional Liouvillian Maps
Global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible invariant structures in Liouvillian maps and the two most interesting nearly-integrable cases are investigated. In additio...
1994-10-21
2012-08-02
[ "chao-dyn", "math.DS", "nlin.CD", "physics.flu-dyn" ]
Julyan H. E. Cartwright, Mario Feingold, and Oreste Piro
chao-dyn/9410004
Kinks Dynamics in One-Dimensional Coupled Map Lattices
We examine the problem of the dynamics of interfaces in a one-dimensional space-time discrete dynamical system. Two different regimes are studied : the non-propagating and the propagating one. In the first case, after proving the existence of such solutions, we show how they can be described using Taylor expansions. Th...
1994-10-20
2009-10-22
[ "chao-dyn", "nlin.CD" ]
B. Fernandez
chao-dyn/9410002
"Intermittency" in Hydrodynamic Turbulence as Intermediate Asymptotic to Kolmogorov41 Scaling
A synopsis of an analytical theory of scaling in developed turbulence is proposed on the basis of the Navier-Stokes equations. It is shown that corrections to the normal Kolmogorov 1941 scaling behavior of the $n$-th order velocity structure functions are finite Re effects which disappear when the inertial interval exc...
1994-10-20
2009-10-22
[ "chao-dyn", "nlin.CD" ]
V.S L'vov and I. Procaccia
chao-dyn/9410003
Anomalous Scaling and Fusion Rules in Hydrodynamic Turbulence
It is shown that statistical properties of developed hydrodynamic turbulence are characterized by an infinite set of independent anomalous exponents which describes the scaling behavior of hydrodynamic fields constructed from the second and larger powers of the velocity derivatives. A physical mechanism responsible for...
1994-10-20
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Vladimir V. Lebedev and Victor S. L'vov
chao-dyn/9410001
Dynamics of Small Autocatalytic Reaction Network II: Replication, Mutation and Catalysis
Mutation is introduced into autocatalytic reaction networks. Examples of low dimensional dynamical systems --- n = 2, 3 and 4 --- are discussed and complete qualitative analysis is presented. Error thresholds known from simple replication-mutation kinetics with frequency independent replication rates occur here as well...
1994-10-14
2008-02-03
[ "chao-dyn", "nlin.CD" ]
Peter F. Stadler (ITC, SFI), Wolfgang Schnabl (ITC, Alcatel Austria), Christian V. Forst (IMB), and Peter Schuster (ITC, SFI, IMB) (ITC: Inst. of Theoretical Chemistry, Univ. Vienna, Austria; SFI: Santa Fe Inst., New Mexico IMB: Inst. of Molecuar Biotechnology, Jena, Germany)
chao-dyn/9409007
Amplitude Equations for Electrostatic Waves: universal singular behavior in the limit of weak instability
An amplitude equation for an unstable mode in a collisionless plasma is derived from the dynamics on the unstable manifold of the equilibrium $F_0(v)$.\\ The mode eigenvalue arises from a simple zero of the dielectric $\epsilon_{{k}}(z)$; as the linear growth rate $\gamma$ vanishes, the eigenvalue merges with the conti...
1994-10-05
2009-10-22
[ "chao-dyn", "nlin.CD" ]
John David Crawford (Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA)
chao-dyn/9409006
Avalanches in the Weakly Driven Frenkel-Kontorova Model
A damped chain of particles with harmonic nearest-neighbor interactions in a spatially periodic, piecewise harmonic potential (Frenkel-Kontorova model) is studied numerically. One end of the chain is pulled slowly which acts as a weak driving mechanism. The numerical study was performed in the limit of infinitely weak ...
1994-09-29
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Franz-Josef Elmer (Institut f\"ur Physik, Universit\"at Basel, CH-4056 Basel, Switzerland)
chao-dyn/9409005
A New Type of Irregular Motion in a Class of Game Dynamics Systems
A new type of asymptotic behavior in a game dynamics system is discovered. The system exhibits behavior which combines chaotic motion and attraction to heteroclinic cycles; the trajectory visits several unstable stationary states repeatedly with an irregular order, and the typical length of the stay near the steady sta...
1994-09-17
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Tsuyoshi Chawanya (Yukawa Institute for Theoretical Physics, Kyoto 606, Japan)
chao-dyn/9409004
Statistical Properties of the Zeros of Zeta Functions - Beyond the Riemann Case
We investigate the statistical distribution of the zeros of Dirichlet $L$--functions both analytically and numerically. Using the Hardy--Littlewood conjecture about the distribution of prime numbers we show that the two--point correlation function of these zeros coincides with that for eigenvalues of the Gaussian unita...
1994-09-16
2009-10-22
[ "chao-dyn", "nlin.CD" ]
E. Bogomolny and P. Leboeuf
chao-dyn/9409003
Gaussian Wavepacket Dynamics: semiquantal and semiclassical phase space formalism
Gaussian wavepackets are a popular tool for semiclassical analyses of classically chaotic systems. We demonstrate that they are extremely powerful in the semiquantal analysis of such systems, too, where their dynamics can be recast in an extended potential formulation. We develop Gaussian semiquantal dynamics to provid...
1994-09-14
2009-10-22
[ "chao-dyn", "nlin.CD" ]
Arjendu K. Pattanayak and William C. Schieve ( Prigogine Center, The University of Texas at Austin, TX 78712)
chao-dyn/9409002
The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable
The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painlev\'e test; this proves the inexistence of any vacuum solution other...
1994-09-13
2015-06-24
[ "chao-dyn", "nlin.CD" ]
A. Latifi (Universit\'e libre de Bruxelles), M. Musette (Vrije Universiteit Brussel) and R. Conte (CEA, Centre d'\'etudes de Saclay)