Oscillations and Synchronization in a System of Three Reactively Coupled Oscillators
- We consider a system of three interacting van der Pol oscillators with reactive coupling. Phase equations are derived, using proper order of expansion over the coupling parameter. The dynamics of the system is studied by means of the bifurcation analysis and with the method of Lyapunov exponent charts. Essential and physically meaningful features of the reactive coupling are discussed.
| Author details: | Alexander P. Kuznetsov, Ludmila V. Turukina, Nikolai Yu Chernyshov, Yuliya V. Sedova |
|---|---|
| DOI: | https://doi.org/10.1142/S0218127416500103 |
| ISSN: | 0218-1274 |
| ISSN: | 1793-6551 |
| Title of parent work (English): | International journal of bifurcation and chaos : in applied sciences and engineering |
| Publisher: | World Scientific |
| Place of publishing: | Singapore |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Tag: | Synchronization; bifurcation; chaos; quasi-periodic oscillation |
| Volume: | 26 |
| Number of pages: | 10 |
| First page: | 31 |
| Last Page: | 39 |
| Funding institution: | Russian Federation [NSH-1726.2014.2]; Russian Foundation for Basic Research [14-02-00085, 14-02-31064] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
