Diversity-induced resonance in a system of globally coupled linear oscillators
Autor: | Toral, Raul, Hernandez-Garcia, Emilio, Gunton, James D. |
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Rok vydání: | 2008 |
Předmět: | |
Zdroj: | International Journal of Bifurcation and Chaos 19, 3499-3508 (2009) |
Druh dokumentu: | Working Paper |
DOI: | 10.1142/S0218127409024931 |
Popis: | The purpose of this paper to analyze in some detail the arguably simplest case of diversity-induced 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. Comment: Reported at the XI International Workshop "Instabilities and Nonequilibrium Structures" Vina del Mar (Chile) |
Databáze: | arXiv |
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