Quasi-periodic bifurcations and "amplitude death" in low-dimensional ensemble of van der Pol oscillators
- The dynamics of the four dissipatively coupled van der Pol oscillators is considered. Lyapunov chart is presented in the parameter plane. Its arrangement is discussed. We discuss the bifurcations of tori in the system at large frequency detuning of the oscillators. Here are quasi-periodic saddle-node, Hopf and Neimark-Sacker bifurcations. The effect of increase of the threshold for the "amplitude death" regime and the possibilities of complete and partial broadband synchronization are revealed.
| Author details: | Yulia P. Emelianova, A. P. Kuznetsov, Ludmila V. Turukina |
|---|---|
| DOI: | https://doi.org/10.1016/j.physleta.2013.10.049 |
| ISSN: | 0375-9601 |
| ISSN: | 1873-2429 |
| Title of parent work (English): | Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics |
| Publisher: | Elsevier |
| Place of publishing: | Amsterdam |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Tag: | Amplitude death; Bifurcations of tori; Broadband synchronization; Chain of van der Pol oscillators |
| Volume: | 378 |
| Issue: | 3 |
| Number of pages: | 5 |
| First page: | 153 |
| Last Page: | 157 |
| Funding institution: | RFBR-DFG [11-02-91334] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
