Onset of time dependence in ensembles of excitable elements with global repulsive coupling
- We consider the effect of global repulsive coupling on an ensemble of identical excitable elements. An increase of the coupling strength destabilizes the synchronous equilibrium and replaces it with many attracting oscillatory states, created in the transcritical heteroclinic bifurcation. The period of oscillations is inversely proportional to the distance from the critical parameter value. If the elements interact with the global field via the first Fourier harmonics of their phases, the stable equilibrium is in one step replaced by the attracting continuum of periodic motions.
| Author details: | Michael A. Zaks, Petar Tomov |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.93.020201 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/26986274 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Volume: | 93 |
| Number of pages: | 5 |
| Funding institution: | DFG [IRTG 1740, PI 220/17-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
