Lissajous3D

Systems · Continuous · Oscillatory systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - A a \sin{\left(a t \right)} \\ \dot{y_{1}} &= - B b \sin{\left(b t + \delta_{y} \right)} \\ \dot{y_{2}} &= - C c \sin{\left(c t + \delta_{z} \right)} \end{aligned} \]

Parameters

parameter	default
A	1
B	1
C	1
a	3
b	2
c	5
delta_y	(1/2)*pi
delta_z	(1/4)*pi

Usage

import tsdynamics as ts

sys = ts.Lissajous3D()
traj = sys.integrate(final_time=100.0, dt=0.01)

Back to Oscillatory systems