GuckenheimerHolmes

Systems · Continuous · Chaotic attractors

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= a y_{0} - b y_{1} + c y_{0} y_{2} + d y_{0}^{2} y_{2} + d y_{1}^{2} y_{2} \\ \dot{y_{1}} &= a y_{1} + b y_{0} + c y_{1} y_{2} \\ \dot{y_{2}} &= - a y_{2}^{3} + e - f y_{0}^{2} - f y_{1}^{2} - y_{2}^{2} \end{aligned} \]

Parameters

parameter	default
a	0.4
b	20.25
c	3
d	1.6
e	1.7
f	0.44

Usage

import tsdynamics as ts

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

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