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 |
|---|---|
| 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 |
