Effective phase description of noise-perturbed and noise-induced oscillations
- An effective dynamical description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by the stochastic phase oscillators invariant probability density or its first passage times. Using the first approach the effective phase exhibits the correct frequency and invariant distribution density, whereas the second approach models the proper phase resetting curve. The discrepancy of the effective models is most pronounced for noise-induced oscillations and is related to non-monotonicity of the stochastic phase variable due to fluctuations.
| Author details: | Justus T. C. Schwabedal, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1140/epjst/e2010-01271-6 |
| ISSN: | 1951-6355 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/24 |
| Source: | European physical journal-special topics. - ISSN 1951-6355. - 187 (2010), 1, S. 63 - 76 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
