Hopf bifurcations and simple structures of periodic solution sets in systems with the Preisach nonlinearity
- Brokate, Martin
- Rachinskii, Dmitri
2010 Mathematics Subject Classification
- 34C55 34D20 34D10
- Hysteresis, forced periodic oscillations, cycles, one-parameter continuum of periodic regimes, Hopf bifurcation, Preisach nonlinearity
We survey a number of recent results and suggest some new ones on periodic solutions of systems with hysteresis. The main focus of this work is the situation when simple one-parameter structures of periodic regimes appear. We consider forced oscillations, cycles of autonomous systems and Hopf bifurcations from the equilibrium and from infinity.