The effect of additive noise on dynamical hysteresis - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinearity Année : 2002

The effect of additive noise on dynamical hysteresis

Résumé

We investigate the properties of hysteresis cycles produced by a one-dimensional, periodically forced Langevin equation. We show that depending on amplitude and frequency of the forcing and on noise intensity, there are three qualitatively different types of hysteresis cycles. Below a critical noise intensity, the random area enclosed by hysteresis cycles is concentrated near the deterministic area, which is different for small and large driving amplitude. Above this threshold, the area of typical hysteresis cycles depends, to leading order, only on the noise intensity. In all three regimes, we derive mathematically rigorous estimates for expectation, variance, and the probability of deviations of the hysteresis area from its typical value.

Dates et versions

hal-00003012 , version 1 (07-10-2004)

Identifiants

Citer

Nils Berglund, Barbara Gentz. The effect of additive noise on dynamical hysteresis. Nonlinearity, 2002, 15, pp.605-632. ⟨10.1088/0951-7715/15/3/305⟩. ⟨hal-00003012⟩
121 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More