Effective phase dynamics of noise-induced oscillations in excitable systems
- We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations.
| Author details: | Justus T. C. Schwabedal, Arkadij PikovskijORCiDGND |
|---|---|
| URL: | http://link.aps.org/doi/10.1103/PhysRevE.81.046218 |
| DOI: | https://doi.org/10.1103/Physreve.81.046218 |
| ISSN: | 1539-3755 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/24 |
| Source: | Physical Review E. - ISSN 1539-3755. - 81 (2010), 4, Artn 046218 - |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
