Bogdanov

Systems · Discrete · Exotic maps

Dimension: 2

Equations

\[ \begin{aligned} y_{0}' &= k y_{0} \left(y_{0} - 1\right) + \mu y_{0} y_{1} + y_{0} + y_{1} \left(eps + 1\right) \\ y_{1}' &= k y_{0} \left(y_{0} - 1\right) + \mu y_{0} y_{1} + y_{1} \left(eps + 1\right) \end{aligned} \]

Parameters

parameter	default
eps	0.0
k	1.2
mu	0.0

Usage

import tsdynamics as ts

sys = ts.Bogdanov()
traj = sys.iterate(steps=10_000)

Back to Exotic maps