STOCHASTIC CHAOS AND RESONANCE IN A BISTABLE STOCHASTIC-SYSTEM

Authors
KIM S REICHL LE
Citation
S. Kim et Le. Reichl, STOCHASTIC CHAOS AND RESONANCE IN A BISTABLE STOCHASTIC-SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3088-3095
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
4
Year of publication
1996
Part
A
Pages
3088 - 3095
Database
ISI
SICI code
1063-651X(1996)53:4<3088:SCARIA>2.0.ZU;2-A
Abstract
We study a periodically driven bistable system in the presence of fluc tuations. The spectral properties of the Fokker-Planck equation are st udied using the finite element method. The ground Floquet state exhibi ts stochastic resonance. The dynamics of the Fokker-Planck equation go verning the system is equivalent to that of a quantum system governed by an underlying Hamiltonian that can be obtained from the Fokker-Plan ck equation. When the Hamiltonian system exhibits the transition to ch aos, the decay rates of the Fokker-Planck equation show level repulsio n.