Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals

P. Landa, V. Ushakov and Jürgen Kurths

Chaos, Solitons & Fractals, 2006, vol. 30, issue 3, 574-578

Abstract: The results of the theoretical consideration of stochastic resonance in overdamped bistable oscillators are given. These results are founded not on the model of two states as in [McNamara B, Wiesenfeld K. Theory of stochastic resonance. Phys Rev A 1989;39:4854–69], but on splitting of motion into regular and random and the rigorous solution of the Fokker–Planck equation for the random component. We show that this resonance is caused by a change, under the influence of noise, of the system’s effective stiffness and damping factor contained in the equation for the regular component. For a certain value of the noise intensity the effective stiffness is minimal, and this fact causes non-monotonic change of the output signal amplitude as the noise intensity changes. It is important that the location of the minimum and its value depend essentially on the signal frequency.

Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077905007630
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:3:p:574-578

DOI: 10.1016/j.chaos.2005.08.116

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().