Phase Chaos and Multistability in the Discrete Kuramoto Model

V. L. Maistrenko, A. A. Vasylenko, Y. L. Maistrenko, Erik Mosekilde

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The paper describes the appearance of a novel high-dimensional chaotic regime, called phase chaos, in the discrete Kuramoto model of globally coupled phase oscillators. This type of chaos is observed at small and intermediate values of the coupling strength. It is caused by the nonlinear interaction of the oscillators, while the individual oscillators behave periodically when left uncoupled. For the four-dimensional discrete Kuramoto model, we outline the region of phase chaos in the parameter plane, distinguish the region where the phase chaos coexists with other periodic attractors, and demonstrate, in addition, that the transition to the phase chaos takes place through the torus destruction scenario.
Original languageEnglish
JournalNonlinear Oscillations (Online)
Volume11
Issue number2
Pages (from-to)229-241
ISSN1536-0059
DOIs
Publication statusPublished - 2008

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