About hierarchy of multifrequency quasiperiodicity regimes in discrete low-dimensional Kuramoto model

Alexander P. Kuznetsov; Yuliya V. Sedova

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arXiv · 1402.6152

About hierarchy of multifrequency quasiperiodicity regimes in discrete low-dimensional Kuramoto model

Alexander P. Kuznetsov·Yuliya V. Sedova

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Abstract

A dynamics of a low-dimensional ensemble consisting of connected in a network five discrete phase oscillators is considered. A two-parameter synchronization picture which appears instead of the Arnold tongues with an increase of the system dimension is discussed. An appearance of the Arnol'd resonance web is detected on the "frequency - coupling" parameter plane. The cases of attractive and repulsive interactions are discussed.

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Alexander P. Kuznetsov, Yuliya V. Sedova. 2014-02-25. About hierarchy of multifrequency quasiperiodicity regimes in discrete low-dimensional Kuramoto model. https://arxiv.org/abs/1402.6152

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