systems/lorenz84.json

{
  "system_id": "lorenz84",
  "name": "Lorenz-84 climate model (chaotic regime)",
  "category": "chaotic",
  "equations": "dX/dt = -Y^2 - Z^2 - a X + a F; dY/dt = X Y - b X Z - Y + G; dZ/dt = b X Y + X Z - Z",
  "parameters": {
    "a": 0.25,
    "b": 4.0,
    "F": 8.0,
    "G": 1.0
  },
  "description_simple": "A simplified climate model exhibiting chaotic oscillations.",
  "description_complex": "Lorenz-84 is a low-dimensional climate model describing atmospheric blocking dynamics. For standard parameter settings, the system displays deterministic chaos, irregular oscillations, sensitivity to initial conditions, and non-periodic attractors. Useful for evaluating LLM reasoning about climate-chaos relationships.",
  "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
  }
}