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ShimizuMorioka

Systems · Continuous · Oscillatory systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= y_{1} \\ \dot{y_{1}} &= - a y_{1} - y_{0} y_{2} + y_{0} \\ \dot{y_{2}} &= - b y_{2} + y_{0}^{2} \end{aligned} \]

Parameters

parameter default
a 0.85
b 0.5

ShimizuMorioka attractor

Usage

import tsdynamics as ts

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

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