HyperYan

Systems · Continuous · Chaotic attractors

Dimension: 4

Equations

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

Parameters

parameter	default
a	37
b	3
c	26
d	38

Usage

import tsdynamics as ts

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

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