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Lissajous2D

Systems · Continuous · Oscillatory systems

Dimension: 2

Equations

\[ \begin{aligned} \dot{y_{0}} &= - A a \sin{\left(a t \right)} \\ \dot{y_{1}} &= - B b \sin{\left(b t + \delta \right)} \end{aligned} \]

Parameters

parameter default
A 1
B 1
a 3
b 2
delta (1/2)*pi

Lissajous2D attractor

Usage

import tsdynamics as ts

sys = ts.Lissajous2D()
traj = sys.integrate(final_time=100.0, dt=0.01)

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