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The Winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory

Abstract: A novel generalization of the Winfree model of globally coupled phase oscillators, representing phase reduction under finite coupling, is studied analytically. We consider interactions through a non-infinitesimal (or finite) phase-response curve (PRC), in contrast to the infinitesimal PRC of the original model. For a family of non-infinitesimal PRCs, the global dynamics is captured by one complex-valued ordinary differential equation resorting to the Ott-Antonsen ansatz. The phase diagrams are thereupon obtained for four illustrative cases of non-infinitesimal PRC. Bistability between collective synchronization and full desynchronization is observed in all cases. © 2020 Author(s).

 Fuente: Chaos, 2020, 30, 073139

 Publisher: American Institute of Physics

 Publication date: 01/07/2020

 No. of pages: 9

 Publication type: Article

 DOI: 10.1063/5.0015131

 ISSN: 1054-1500,1089-7682

 Spanish project: FIS2016-74957-P (AEI/FEDER, EU)

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