The effect of additive noise on dynamical hysteresis

Simple item page
dc.creatorBerglund, Nils
dc.creatorGentz, Barbara
dc.date2001-07-27
dc.date.accessioned2026-07-07T04:42:45Z
dc.date.available2026-07-07T04:42:45Z
dc.descriptionWe 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.
dc.description30 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0107199
dc.identifierhttp://arxiv.org/abs/math/0107199
dc.identifierNonlinearity 15:605-632 (2002)
dc.identifierdoi:10.1088/0951-7715/15/3/305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61917
dc.subjectDynamical Systems
dc.subjectProbability
dc.subjectChaotic Dynamics
dc.subject37H20 (primary); 60H10, 34C55, 34E15, 82C31 (secondary)
dc.titleThe effect of additive noise on dynamical hysteresis
dc.typetext

Files

Collections

arXiv