SwingingAtwood
Description
The swinging Atwood machine couples a pendulum to a vertically moving mass via a single inextensible string over a pulley. Competing exchanges between vertical and angular motion create a rich mixed phase space with coexisting regular islands and chaotic seas, providing a canonical laboratory example of low-dimensional Hamiltonian chaos and resonance overlap.
Parameters
| Name | Value | Unit |
|---|---|---|
| g | 9.81 | |
| l | 1.0 | |
| m1 | 1.0 | |
| m2 | 3.0 |
State variables
| Name | Initial value |
|---|---|
| theta | 0.3 |
| omega | 0.0 |
| y | 0.0 |
| v | 0.0 |