| { | |
| "system_id": "damped_oscillator", | |
| "name": "Damped harmonic oscillator", | |
| "category": "non-chaotic", | |
| "equations": "d2x/dt2 + 2ζω dx/dt + ω^2 x = 0", | |
| "parameters": { | |
| "omega": 1.0, | |
| "zeta": 0.2 | |
| }, | |
| "description_simple": "A linear oscillator with friction that causes trajectories to decay to rest at a stable equilibrium.", | |
| "description_complex": "A linear second-order deterministic system with viscous damping that causes energy to dissipate over time. In the underdamped regime, trajectories spiral into a stable fixed point in phase space, with no sensitive dependence on initial conditions, no strange attractor, and a non-positive largest Lyapunov exponent, making the long-term behavior easily predictable.", | |
| "truth_assignment": { | |
| "Chaotic": false, | |
| "Deterministic": true, | |
| "PosLyap": false, | |
| "Sensitive": false, | |
| "StrangeAttr": false, | |
| "PointUnpredictable": false, | |
| "StatPredictable": true, | |
| "QuasiPeriodic": false, | |
| "Random": false, | |
| "FixedPointAttr": true, | |
| "Periodic": false, | |
| "Dissipative": true, | |
| "Bounded": true, | |
| "Mixing": false, | |
| "Ergodic": false, | |
| "HyperChaotic": false, | |
| "Conservative": false, | |
| "HighDimensional": false, | |
| "Multifractal": false, | |
| "HighDimSystem": false, | |
| "ContinuousTime": true, | |
| "DiscreteTime": false, | |
| "DelaySystem": false, | |
| "Forced": false, | |
| "Autonomous": true, | |
| "StrongMixing": false, | |
| "WeakMixing": false | |
| } | |
| } | |