ArnoldWeb

Systems · Continuous · Exotic systems

Dimension: 5

Equations

\[ \begin{aligned} \dot{y_{0}} &= - \frac{\mu \sin{\left(y_{2} \right)}}{\left(\cos{\left(y_{2} \right)} + \cos{\left(y_{3} \right)} + \cos{\left(y_{4} \right)} + 4\right)^{2}} \\ \dot{y_{1}} &= - \frac{\mu \sin{\left(y_{3} \right)}}{\left(\cos{\left(y_{2} \right)} + \cos{\left(y_{3} \right)} + \cos{\left(y_{4} \right)} + 4\right)^{2}} \\ \dot{y_{2}} &= y_{0} \\ \dot{y_{3}} &= y_{1} \\ \dot{y_{4}} &= w \end{aligned} \]

Parameters

parameter	default
mu	0.01
w	1

Usage

import tsdynamics as ts

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

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