dynamic_2d_conservative_solve
Check 2D systems for conservativeness (divergence-free), Hamiltonian/energy, and closed orbits, while classifying equilibria and computing trajectories.
Instructions
Analyze a 2D system checking conservativeness (divergence-free), Hamiltonian/energy and closed orbits.
Args: eq_x, eq_y: Math expressions for x' and y'. mu: parameter value. x0..y_max, cantidad_trayectorias: integration and portrait settings.
Returns: Dict with the divergence check, the Hamiltonian reconstruction, the equilibrium classification and the trajectories.
Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| h | No | ||
| mu | No | ||
| t0 | No | ||
| x0 | No | ||
| y0 | No | ||
| eq_x | No | y | |
| eq_y | No | x - x**3 | |
| t_fin | No | ||
| x_max | No | ||
| x_min | No | ||
| y_max | No | ||
| y_min | No | ||
| cantidad_trayectorias | No |