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Title

Synchronization of coupled noisy oscillators: Coarse graining from continuous to discrete phases

AuthorsEscaff, Daniel; Rosas, Alexandre; Toral, Raúl ; Lindenberg, Katja
Issue Date2016
PublisherAmerican Physical Society
CitationPhysical Review - Section E - Statistical Nonlinear and Soft Matter Physics 94: 052219 (2016)
AbstractThe theoretical description of synchronization phenomena often relies on coupled units of continuous time noisy Markov chains with a small number of states in each unit. It is frequently assumed, either explicitly or implicitly, that coupled discrete-state noisy Markov units can be used to model mathematically more complex coupled noisy continuous phase oscillators. In this work we explore conditions that justify this assumption by coarse graining continuous phase units. In particular, we determine the minimum number of states necessary to justify this correspondence for Kuramoto-like oscillators.
Publisher version (URL)https://doi.org/10.1103/PhysRevE.94.052219
URIhttp://hdl.handle.net/10261/157215
DOIhttp://dx.doi.org/10.1103/PhysRevE.94.052219
ISSN1539-3755
E-ISSN1550-2376
Appears in Collections:(IFISC) Artículos
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