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Effects of nonresonant interaction in ensembles of phase oscillators

  • We consider general properties of groups of interacting oscillators, for which the natural frequencies are not in resonance. Such groups interact via nonoscillating collective variables like the amplitudes of the order parameters defined for each group. We treat the phase dynamics of the groups using the Ott-Antonsen ansatz and reduce it to a system of coupled equations for the order parameters. We describe different regimes of cosynchrony in the groups. For a large number of groups, heteroclinic cycles, corresponding to a sequential synchronous activity of groups and chaotic states where the order parameters oscillate irregularly, are possible.

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Author:Maxim Komarov, Arkady S. PikovskyORCiDGND
ISSN:1539-3755 (print)
Parent Title (English):Physical review : E, Statistical, nonlinear and soft matter physics
Publisher:American Physical Society
Place of publication:College Park
Document Type:Article
Year of first Publication:2011
Year of Completion:2011
Release Date:2017/03/26
Funder:German Federal Foreign Office via the German Academic Exchange Service (DAAD) [Pi15, Pi2308, Pi942, 02.740.11.5138, 02.740.11.0839, 14.740.11.0348]; Russian Fund of Basic Research [08-02-92004, 08-02-970049, 10-02-00940]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert