FluidTrampoline

Systems · Continuous · Physical systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= y_{1} \\ \dot{y_{1}} &= \gamma \cos{\left(y_{2} \right)} - \frac{\left(1 - \operatorname{sign}{\left(y_{0} \right)}\right) \left(\psi y_{1} \left|{y_{1}}\right| + y_{0}\right)}{2} - 1 \\ \dot{y_{2}} &= w \end{aligned} \]

Parameters

parameter	default
gamma	1.82
psi	0.01019
w	1.21

Usage

import tsdynamics as ts

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

Back to Physical systems