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  • E046212

    Rights statement: ©2012 American Physical Society

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    3/11/15

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Kuramoto model with time-varying parameters

Research output: Contribution to journalJournal article

Published
Article number046212
<mark>Journal publication date</mark>23/10/2012
<mark>Journal</mark>Physical Review E
Issue number4
Volume86
Number of pages7
<mark>State</mark>Published
<mark>Original language</mark>English

Abstract

We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.

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©2012 American Physical Society