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Bouali2

Systems · Continuous · Coupled systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= a y_{0} y_{0} - a y_{0} y_{1} - b y_{2} \\ \dot{y_{1}} &= g y_{0}^{2} y_{1} - g y_{1} \\ \dot{y_{2}} &= bb m y_{0} y_{2} - c y_{2} - 1.5 m y_{0} \end{aligned} \]

Parameters

parameter default
a 1.0
b -0.3
bb 1.0
c 0.05
g 1.0
m 1
y0 4.0

Bouali2 attractor

Usage

import tsdynamics as ts

sys = ts.Bouali2()
traj = sys.integrate(final_time=100.0, dt=0.01)

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