LorenzCoupled

Systems · Continuous · Chaotic attractors

Dimension: 6

Equations

\[ \begin{aligned} \dot{y_{0}} &= \kappa \left(- y_{0} + y_{3}\right) + \sigma \left(- y_{0} + y_{1}\right) \\ \dot{y_{1}} &= \rho y_{0} - y_{0} y_{2} - y_{1} \\ \dot{y_{2}} &= - \beta y_{2} + y_{0} y_{1} \\ \dot{y_{3}} &= \kappa \left(y_{0} - y_{3}\right) + \sigma \left(- y_{3} + y_{4}\right) \\ \dot{y_{4}} &= \rho y_{3} - y_{3} y_{5} - y_{4} \\ \dot{y_{5}} &= - \beta y_{5} + y_{3} y_{4} \end{aligned} \]

Parameters

parameter	default
beta	2.6666666666666665
kappa	2.85
rho	28
sigma	10

Usage

import tsdynamics as ts

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

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