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HyperYangChen

Systems · Continuous · Chaotic attractors

Dimension: 4

Equations

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

Parameters

parameter default
a 30
b 3
c 35
d 8

HyperYangChen attractor

Usage

import tsdynamics as ts

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

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