Journal Article

PreJuSER-57782

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Extreme sensitivity to detuning for globally coupled phase oscillators

Ashwin, P. ; Burylko, O. ; Maistrenko, Y.FZJ* ; Popovych, O.FZJ*

2006
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/7717  doi:10.1103/PhysRevLett.96.054102

Abstract: We discuss the sensitivity of a population of coupled oscillators to differences in their natural frequencies, i.e., to detuning. We argue that for three or more oscillators, one can get great sensitivity even if the coupling is strong. For N globally coupled phase oscillators we find there can be bifurcation to extreme sensitivity, where frequency locking can be destroyed by arbitrarily small detuning. This extreme sensitivity is absent for N = 2, appears at isolated parameter values for N = 3 and N = 4, and can appear robustly for open sets of parameter values for N >= 5 oscillators.

Keyword(s): J

Note: Record converted from VDB: 12.11.2012

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Research Program(s):

1. Funktion und Dysfunktion des Nervensystems (P33)

Appears in the scientific report 2006
Notes: Nachtrag

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Database coverage:
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