Complex mixed-mode oscillations in a prototypical three-time-scale model.
- Ekaterina Kutafina (Dept. of Medical Informatics, RWTH Aachen University, and AGH University of Science and Technology, Cracow, Poland)
ODE systems originating from neural modelling are known to produce mixed-mode oscillations (alternation of large and small amplitude loops). Several different geometric mechanisms explaining small amplitude oscillations have been explored by now, e.g., delayed Hopf bifurcation and folded saddle-node type II. In my talk I will present our recently published work on the existence of periodic mixed mode solutions in which the small loops are influenced by both of these mechanisms.