HyperCai

Systems · Continuous · Exotic systems

Dimension: 4

Equations

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

Parameters

parameter	default
a	27.5
b	3
c	19.3
d	2.9
e	3.3

Usage

import tsdynamics as ts

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

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