HyperLorenz

Systems · Continuous · Chaotic attractors

Dimension: 4

Equations

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

Parameters

parameter	default
a	10
b	2.667
c	28
d	1.1

Usage

import tsdynamics as ts

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

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