RabinovichFabrikant

Systems · Continuous · Chaotic attractors

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= g y_{0} + y_{1} \left(y_{0}^{2} + y_{2} - 1\right) \\ \dot{y_{1}} &= g y_{1} + y_{0} \left(- y_{0}^{2} + 3 y_{2} + 1\right) \\ \dot{y_{2}} &= - 2 y_{2} \left(a + y_{0} y_{1}\right) \end{aligned} \]

Parameters

parameter	default
a	1.1
g	0.87

Usage

import tsdynamics as ts

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

Back to Chaotic attractors