Nonlinear phase coupling functions: a numerical study
- Phase reduction is a general tool widely used to describe forced and interacting self-sustained oscillators. Here, we explore the phase coupling functions beyond the usual first-order approximation in the strength of the force. Taking the periodically forced Stuart-Landau oscillator as the paradigmatic model, we determine and numerically analyse the coupling functions up to the fourth order in the force strength. We show that the found nonlinear phase coupling functions can be used for predicting synchronization regions of the forced oscillator.
| Author details: | Michael RosenblumORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1098/rsta.2019.0093 |
| ISSN: | 1364-503X |
| ISSN: | 1471-2962 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/31656143 |
| Title of parent work (English): | Philosophical Transactions of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences |
| Publisher: | Royal Society |
| Place of publishing: | London |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2019 |
| Publication year: | 2019 |
| Release date: | 2020/09/12 |
| Tag: | coupling function; phase approximation; phase response curve |
| Volume: | 377 |
| Issue: | 2160 |
| Number of pages: | 12 |
| Funding institution: | Russian Science FoundationRussian Science Foundation (RSF) [19-12-00367] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| Open Access / Bronze Open-Access |
