OscillatingFlow

Systems · Continuous · Climate geophysics

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= u \sin{\left(k \left(b \sin{\left(y_{2} \right)} + y_{0}\right) \right)} \cos{\left(k y_{1} \right)} \\ \dot{y_{1}} &= - u \sin{\left(k y_{1} \right)} \cos{\left(k \left(b \sin{\left(y_{2} \right)} + y_{0}\right) \right)} \\ \dot{y_{2}} &= \omega \end{aligned} \]

Parameters

parameter	default
b	0.48
k	1.0
omega	0.49
u	0.72

Usage

import tsdynamics as ts

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

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