Suppression of oscillations by Levy noise
| Autor: | Olemskoi, A.I., Borysov, S.S., Shuda, I.A. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Ukrainian Journal of Physics; Vol. 56 No. 3 (2011); 287 Український фізичний журнал; Том 56 № 3 (2011); 287 |
| ISSN: | 2071-0194 2071-0186 |
| DOI: | 10.48550/arxiv.0910.2018 |
| Popis: | We find analytical solution of pair of stochastic equations with arbitrary forces and multiplicative L\'evy noises in a steady-state nonequilibrium case. This solution shows that L\'evy flights suppress always a quasi-periodical motion related to the limit cycle. We prove that difference between stochastic systems driven by L\'evy and Gaussian noises is that the L\'evy variation $\Delta L\sim(\Delta t)^{1/\alpha}$ with the exponent $\alpha Comment: 18 pages, 1 figure. Submitted to Fluctuation and Noise Letters |
| Databáze: | OpenAIRE |
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