Autonomous and forced dynamics of oscillator ensembles with global nonlinear coupling an experimental study
- We perform experiments with 72 electronic limit-cycle oscillators, globally coupled via a linear or nonlinear feedback loop. While in the linear case we observe a standard Kuramoto-like synchronization transition, in the nonlinear case, with increase of the coupling strength, we first observe a transition to full synchrony and then a desynchronization transition to a quasiperiodic state. However, in this state the ensemble remains coherent so that the amplitude of the mean field is nonzero, but the frequency of the mean field is larger than frequencies of all oscillators. Next, we analyze effects of common periodic forcing of the linearly or nonlinearly coupled ensemble and demonstrate regimes when the mean field is entrained by the force whereas the oscillators are not.
| Author details: | Amirkhan A. Temirbayev, Yerkebulan D. Nalibayev, Zeinulla Zh. Zhanabaev, Vladimir I. Ponomarenko, Michael RosenblumORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.87.062917 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| 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: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Volume: | 87 |
| Issue: | 6 |
| Number of pages: | 11 |
| Funding institution: | RFFI [12-02-00377] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
