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arXiv · 1609.08731

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

Daniel Escaff·Alexandre Rosas·Raul Toral·Katja Lindenberg
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Abstract

The 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.

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Daniel Escaff, Alexandre Rosas, Raul Toral, Katja Lindenberg. 2016-09-28. Synchronization of coupled noisy oscillators: Coarse-graining from continuous to discrete phases. https://doi.org/10.1103/physreve.94.052219

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