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"system_id": "double_pendulum",
"name": "Double pendulum",
"category": "chaotic",
"equations": "Coupled second-order nonlinear equations for two angles θ1, θ2 of a planar double pendulum under gravity.",
"parameters": {
"m1": 1.0,
"m2": 1.0,
"l1": 1.0,
"l2": 1.0,
"g": 9.81
},
"description_simple": "A physical system with two connected pendulum arms that, for many initial conditions, exhibits chaotic motion.",
"description_complex": "A deterministic mechanical system consisting of two rigid rods connected in series and free to swing in a plane under gravity. The governing equations are highly nonlinear, and for generic initial conditions the motion shows deterministic chaos: strong sensitivity to initial conditions, complex trajectories in phase space, and no simple periodic or quasi-periodic attractor.",
"truth_assignment": {
"Chaotic": true,
"Deterministic": true,
"PosLyap": true,
"Sensitive": true,
"StrangeAttr": true,
"PointUnpredictable": true,
"StatPredictable": true,
"QuasiPeriodic": false,
"Random": false,
"FixedPointAttr": false,
"Periodic": false,
"Dissipative": true,
"Bounded": true,
"Mixing": true,
"Ergodic": true,
"HyperChaotic": false,
"Conservative": false,
"HighDimensional": false,
"Multifractal": false,
"HighDimSystem": true,
"ContinuousTime": true,
"DiscreteTime": false,
"DelaySystem": false,
"Forced": false,
"Autonomous": true,
"StrongMixing": true,
"WeakMixing": true
}
}
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