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

Autor:	Pazó, Diego, Gallego, Rafael
Rok vydání:	2020
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems
Zdroj:	Chaos 30, 073139 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0015131
Popis:	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. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.13588 Zobrazit plný text záznamu View this record from Arxiv