arXiv Open Access 2011

Desynchronization transitions in nonlinearly coupled phase oscillators

Oleksandr Burylko Arkady Pikovsky

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Abstrak

We consider the nonlinear extension of the Kuramoto model of globally coupled phase oscillators where the phase shift in the coupling function depends on the order parameter. A bifurcation analysis of the transition from fully synchronous state to partial synchrony is performed. We demonstrate that for small ensembles it is typically mediated by stable cluster states, that disappear with creation of heteroclinic cycles, while for a larger number of oscillators a direct transition from full synchrony to a periodic or quasiperiodic regime occurs.

Topik & Kata Kunci

nlin.AO

Penulis (2)

Oleksandr Burylko

Arkady Pikovsky

Format Sitasi

APA MLA BibTeX

Burylko, O., Pikovsky, A. (2011). Desynchronization transitions in nonlinearly coupled phase oscillators. https://arxiv.org/abs/1102.0627

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓