Interplay of coupling and common noise at the transition to synchrony in oscillator populations
Abstract There are two ways to synchronize oscillators: by coupling and by common forcing, which can be pure noise. By virtue of the Ott-Antonsen ansatz for sine-coupled phase oscillators, we obtain analytically tractable equations for the case where both coupling and common noise are present. While...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2016-12-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/srep38518 |
| _version_ | 1797817981369057280 |
|---|---|
| author | Anastasiya V. Pimenova Denis S. Goldobin Michael Rosenblum Arkady Pikovsky |
| author_facet | Anastasiya V. Pimenova Denis S. Goldobin Michael Rosenblum Arkady Pikovsky |
| author_sort | Anastasiya V. Pimenova |
| collection | DOAJ |
| description | Abstract There are two ways to synchronize oscillators: by coupling and by common forcing, which can be pure noise. By virtue of the Ott-Antonsen ansatz for sine-coupled phase oscillators, we obtain analytically tractable equations for the case where both coupling and common noise are present. While noise always tends to synchronize the phase oscillators, the repulsive coupling can act against synchrony, and we focus on this nontrivial situation. For identical oscillators, the fully synchronous state remains stable for small repulsive coupling; moreover it is an absorbing state which always wins over the asynchronous regime. For oscillators with a distribution of natural frequencies, we report on a counter-intuitive effect of dispersion (instead of usual convergence) of the oscillators frequencies at synchrony; the latter effect disappears if noise vanishes. |
| first_indexed | 2024-03-13T09:01:33Z |
| format | Article |
| id | doaj.art-58973357118746d5983b4f45f98d717f |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-13T09:01:33Z |
| publishDate | 2016-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-58973357118746d5983b4f45f98d717f2023-05-28T11:17:45ZengNature PortfolioScientific Reports2045-23222016-12-01611710.1038/srep38518Interplay of coupling and common noise at the transition to synchrony in oscillator populationsAnastasiya V. Pimenova0Denis S. Goldobin1Michael Rosenblum2Arkady Pikovsky3Institute of Continuous Media Mechanics, UB RASInstitute of Continuous Media Mechanics, UB RASInstitute for Physics and Astronomy, University of PotsdamInstitute for Physics and Astronomy, University of PotsdamAbstract There are two ways to synchronize oscillators: by coupling and by common forcing, which can be pure noise. By virtue of the Ott-Antonsen ansatz for sine-coupled phase oscillators, we obtain analytically tractable equations for the case where both coupling and common noise are present. While noise always tends to synchronize the phase oscillators, the repulsive coupling can act against synchrony, and we focus on this nontrivial situation. For identical oscillators, the fully synchronous state remains stable for small repulsive coupling; moreover it is an absorbing state which always wins over the asynchronous regime. For oscillators with a distribution of natural frequencies, we report on a counter-intuitive effect of dispersion (instead of usual convergence) of the oscillators frequencies at synchrony; the latter effect disappears if noise vanishes.https://doi.org/10.1038/srep38518 |
| spellingShingle | Anastasiya V. Pimenova Denis S. Goldobin Michael Rosenblum Arkady Pikovsky Interplay of coupling and common noise at the transition to synchrony in oscillator populations Scientific Reports |
| title | Interplay of coupling and common noise at the transition to synchrony in oscillator populations |
| title_full | Interplay of coupling and common noise at the transition to synchrony in oscillator populations |
| title_fullStr | Interplay of coupling and common noise at the transition to synchrony in oscillator populations |
| title_full_unstemmed | Interplay of coupling and common noise at the transition to synchrony in oscillator populations |
| title_short | Interplay of coupling and common noise at the transition to synchrony in oscillator populations |
| title_sort | interplay of coupling and common noise at the transition to synchrony in oscillator populations |
| url | https://doi.org/10.1038/srep38518 |
| work_keys_str_mv | AT anastasiyavpimenova interplayofcouplingandcommonnoiseatthetransitiontosynchronyinoscillatorpopulations AT denissgoldobin interplayofcouplingandcommonnoiseatthetransitiontosynchronyinoscillatorpopulations AT michaelrosenblum interplayofcouplingandcommonnoiseatthetransitiontosynchronyinoscillatorpopulations AT arkadypikovsky interplayofcouplingandcommonnoiseatthetransitiontosynchronyinoscillatorpopulations |