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Open Access item Diversity-induced resonance in a system of globally coupled linear oscillators

Authors:Toral, Raúl
Hernández-García, Emilio
Gunton, James D.
Keywords:Synchronization, Diversity, Resonance
Issue Date:2008
Abstract:The purpose of this paper to analyze in some detail the arguably simplest case of diversityinduced reseonance: that of a system of globally-coupled linear oscillators subjected to a periodic forcing. Diversity appears as the parameters characterizing each oscillator, namely its mass, internal frequency and damping coefficient are drawn from a probability distribution. The main ingredients for the diversity-induced-resonance phenomenon are present in this system as the oscillators display a variability in the individual responses but are induced, by the coupling, to synchronize their responses. A steady state solution for this model is obtained. We also determine the conditions under which it is possible to find a resonance effect.
Description:8 pages, 10 figures.
Publisher version (URL):http://arxiv.org/abs/0806.2106
URI:http://hdl.handle.net/10261/18594
Appears in Collections:(IFISC) Artículos

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