Equivalence of phase-oscillator and integrate-and-fire models
- A quantitative comparison of various classes of oscillators (integrate-and-fire, Winfree, and Kuramoto-Daido type) is performed in the weak-coupling limit for a fully connected network of identical units. An almost perfect agreement is found, with only tiny differences among the models. We also show that the regime of self-consistent partial synchronization is rather general and can be observed for arbitrarily small coupling strength in any model class. As a byproduct of our study, we are able to show that an integrate-and-fire model with a generic pulse shape can be always transformed into a similar model with delta pulses and a suitable phase response curve.
| Author details: | Antonio Politi, Michael RosenblumORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.91.042916 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/25974571 |
| 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: | 2015 |
| Publication year: | 2015 |
| Release date: | 2017/03/27 |
| Volume: | 91 |
| Issue: | 4 |
| Number of pages: | 11 |
| Funding institution: | von Humboldt Foundation |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
