System of phase oscillators with diagonalizable interaction

Takashi Nishikawa; Frank C. Hoppensteadt

doi:10.1137/S0036139902411132

System of phase oscillators with diagonalizable interaction

Takashi Nishikawa^*, Frank C. Hoppensteadt

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

A system of phase oscillators having distributed natural frequencies and diagonalizable interaction among the oscillators, was studied. The system was found to be almost incoherent in the limit of large system size. There was no sharp transition from incoherence to coherence as the coupling strength was increased.

Original language	English (US)
Pages (from-to)	1615-1626
Number of pages	12
Journal	SIAM Journal on Applied Mathematics
Volume	63
Issue number	5
DOIs	https://doi.org/10.1137/S0036139902411132
State	Published - Jun 2003

Funding

Keywords

Kuramoto model
Network of phase oscillators

ASJC Scopus subject areas

Applied Mathematics

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10.1137/S0036139902411132

Cite this

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title = "System of phase oscillators with diagonalizable interaction",

abstract = "A system of phase oscillators having distributed natural frequencies and diagonalizable interaction among the oscillators, was studied. The system was found to be almost incoherent in the limit of large system size. There was no sharp transition from incoherence to coherence as the coupling strength was increased.",

keywords = "Kuramoto model, Network of phase oscillators",

author = "Takashi Nishikawa and Hoppensteadt, {Frank C.}",

year = "2003",

month = jun,

doi = "10.1137/S0036139902411132",

language = "English (US)",

volume = "63",

pages = "1615--1626",

journal = "SIAM Journal on Applied Mathematics",

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AU - Nishikawa, Takashi

AU - Hoppensteadt, Frank C.

PY - 2003/6

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AB - A system of phase oscillators having distributed natural frequencies and diagonalizable interaction among the oscillators, was studied. The system was found to be almost incoherent in the limit of large system size. There was no sharp transition from incoherence to coherence as the coupling strength was increased.

KW - Kuramoto model

KW - Network of phase oscillators

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DO - 10.1137/S0036139902411132

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JO - SIAM Journal on Applied Mathematics

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System of phase oscillators with diagonalizable interaction

Abstract

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Keywords

ASJC Scopus subject areas

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