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HenonHeiles

Systems · Continuous · Chaotic attractors

Dimension: 4

Equations

\[ \begin{aligned} \dot{y_{0}} &= y_{2} \\ \dot{y_{1}} &= y_{3} \\ \dot{y_{2}} &= - 2 lam y_{0} y_{1} - y_{0} \\ \dot{y_{3}} &= - lam y_{0}^{2} + lam y_{1}^{2} - y_{1} \end{aligned} \]

Parameters

parameter default
lam 1

HenonHeiles attractor

Usage

import tsdynamics as ts

sys = ts.HenonHeiles()
traj = sys.integrate(final_time=100.0, dt=0.01)

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