AnishchenkoAstakhov

Systems · Continuous · Oscillatory systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= \mu y_{0} - y_{0} y_{2} + y_{1} \\ \dot{y_{1}} &= - y_{0} \\ \dot{y_{2}} &= \frac{\eta y_{0}^{2} \left(\operatorname{sign}{\left(y_{0} \right)} + 1\right)}{2} - \eta y_{2} \end{aligned} \]

Parameters

parameter	default
eta	0.5
mu	1.2

Usage

import tsdynamics as ts

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

Back to Oscillatory systems