Chaotic hysteresis in an adiabatically oscillating double well

Nils Berglund (1) , Hervé Kunz (1)

1 IPT - Institut de Physique Théorique

We consider the motion of a damped particle in a potential oscillating slowly between a simple and a double well. The system displays hysteresis effects which can be of periodic or chaotic type. We explain this behaviour by computing an analytic expression of a Poincar'e map.

Domaines: Dynamique Chaotique [nlin.CD]

Nils Berglund, Hervé Kunz. Chaotic hysteresis in an adiabatically oscillating double well. Physical Review Letters, 1997, 78, pp.1691-1694. ⟨10.1103/PhysRevLett.78.1691⟩. ⟨hal-00130556⟩