In this area, I am interested in;
More details of PhD topics
- Chaos in the presence of symmetry
- Cycling chaos
- Global bifurcations
- Synchronisation of coupled oscillators
- Takens-Bogdanov bifurcations
Example of chaotic switching in a heteroclinic cycle
Example of chaotic switching in a heteroclinic cycle.
The trajectory in this fourth-order set of differential equations
cycles between a periodic orbit and four equilibria. On this
Poincare section, the four colours indicate which equilibrium
point the trajectory will visit in the future. There is a clear
separation between blue/black and red/cyan, while blue and black
(and red and cyan) are well mixed.