STOCHASTIC RESONANCE IN AN AUTONOMOUS SYSTEM WITH A NONUNIFORM LIMIT-CYCLE

Citation
Wj. Rappel et Sh. Strogatz, STOCHASTIC RESONANCE IN AN AUTONOMOUS SYSTEM WITH A NONUNIFORM LIMIT-CYCLE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 3249-3250
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
50
Issue
4
Year of publication
1994
Pages
3249 - 3250
Database
ISI
SICI code
1063-651X(1994)50:4<3249:SRIAAS>2.0.ZU;2-J
Abstract
In a recent numerical study, Gang et al. [Phys. Rev. Lett. 71, 807 (19 93)] presented the first example of stochastic resonance in an autonom ous system. They considered a two-variable model in which a limit cycl e is born as some parameter is varied. Their numerical experiments rev ealed various noise-induced effects, including a noise-induced shift i n the frequency of the limit-cycle oscillations, and noise-induced osc illations in the absence of a deterministic limit cycle. We show that both of these effects are simple consequences of the nonuniformity of the motion along the limit cycle.