HindmarshRose

Systems · Continuous · Chem bio systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - \frac{a y_{0}^{3}}{tx} + \frac{b y_{0}^{2}}{tx} - y_{0} + \frac{y_{1}}{tx} + \frac{y_{2}}{tx} \\ \dot{y_{1}} &= - a y_{0}^{3} - y_{0}^{2} \left(- b + d\right) + y_{2} \\ \dot{y_{2}} &= \frac{c}{tz} - \frac{s y_{0}}{tz} - \frac{y_{2}}{tz} \end{aligned} \]

Parameters

parameter	default
a	0.49
b	1.0
c	0.0322
d	1.0
s	1.0
tx	0.03
tz	0.8

Usage

import tsdynamics as ts

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

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