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

Autor: Toral, Raul, Hernandez-Garcia, Emilio, Gunton, James D.
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