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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2020Embargo end date: 01 Jan 2020 Spain English Publisher:AIP PublishingJournal:Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 30 (issn: 1054-1500, eissn: 1089-7682,

Copyright policy )

Authors: Diego Pazó; Rafael Gallego;

doi: 10.1063/5.0015131 , 10.48550/arxiv.2007.13588

pmid: 32752623

arXiv: 2007.13588

handle: 10651/57581 , 10261/222030

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

- Summary
- Subjects
- Metrics

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.

Country

Spain

Related Organizations

Keywords

Qualitative investigation and simulation of ordinary differential equation models, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Synchronization of solutions to ordinary differential equations, FOS: Physical sciences, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	5
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%