Halvorsen

Systems · Continuous · Chaotic attractors

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - a y_{0} - b y_{1} - b y_{2} - y_{1}^{2} \\ \dot{y_{1}} &= - a y_{1} - b y_{0} - b y_{2} - y_{2}^{2} \\ \dot{y_{2}} &= - a y_{2} - b y_{0} - b y_{1} - y_{0}^{2} \end{aligned} \]

Parameters

parameter	default
a	1.4
b	4

Usage

import tsdynamics as ts

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

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