Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals
- 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.
Author details: | Polina S. Landa, Vladimir Ushakov, Jürgen KurthsORCiDGND |
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URL: | http://www.sciencedirect.com/science/journal/09600779 |
DOI: | https://doi.org/10.1016/j.chaos.2005.08.116 |
ISSN: | 0960-0779 |
Title of parent work (German): | Chaos, solitons & fractals : applications in science and engineering |
Publisher: | Elsevier |
Place of publishing: | Amsterdam |
Publication type: | Article |
Language: | English |
Year of first publication: | 2006 |
Publication year: | 2006 |
Release date: | 2017/03/25 |
Volume: | 30 |
Issue: | 3 |
First page: | 574 |
Last Page: | 578 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |
Publishing method: | Open Access |
Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |