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

2014/02/25 by А. П. Кузнецов, Alexander P. Kuznetsov, Kuznetsov, Alexander P. +2
Computer Science · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #nlin.CD

paper · pdf · doi:10.48550/arxiv.1402.6152

7 figures

openalex publication_date 2014/02/25 · arxiv created 2014/02/26 · arxiv updated 2014/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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