Aizawa

Systems · Continuous · Oscillatory systems

Dimension: 3

Equations

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

Parameters

parameter	default
a	0.95
b	0.7
c	0.6
d	3.5
e	0.25
f	0.1

Usage

import tsdynamics as ts

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

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