GuckenheimerHolmes
Description
Symmetric three-dimensional normal form near a triple zero eigenvalue illustrating mode interactions, heteroclinic cycles, and the onset of complicated dynamics in equivariant bifurcation problems. Tunable linear and quadratic interaction terms produce transitions between steady states, periodic orbits, and chaotic transients.
Parameters
| Name | Value | Unit |
|---|---|---|
| a | 0.5 | |
| b | 0.5 | |
| c | 0.5 | |
| d | 1.0 | |
| e | 1.0 | |
| f | 1.0 |
State variables
| Name | Initial value |
|---|---|
| x | 0.1 |
| y | 0.0 |
| z | 0.0 |