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Onset of time dependence in ensembles of excitable elements with global repulsive coupling

  • We consider the effect of global repulsive coupling on an ensemble of identical excitable elements. An increase of the coupling strength destabilizes the synchronous equilibrium and replaces it with many attracting oscillatory states, created in the transcritical heteroclinic bifurcation. The period of oscillations is inversely proportional to the distance from the critical parameter value. If the elements interact with the global field via the first Fourier harmonics of their phases, the stable equilibrium is in one step replaced by the attracting continuum of periodic motions.

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Author:Michael A. Zaks, Petar Tomov
Pubmed Id:http://www.ncbi.nlm.nih.gov/pubmed?term=26986274
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:2016
Year of Completion:2016
Release Date:2020/03/22
Funder:DFG [IRTG 1740, PI 220/17-1]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert