DIVERSITY-INDUCED RESONANCE IN A SYSTEM OF GLOBALLY COUPLED LINEAR OSCILLATORS-Reference-Cited by-同舟云学术

DIVERSITY-INDUCED RESONANCE IN A SYSTEM OF GLOBALLY COUPLED LINEAR OSCILLATORS

Published:2009-10 Issue:10 Volume:19 Page:3499-3508
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

TORAL RAÚL¹,HERNÁNDEZ-GARCÍA EMILIO¹,GUNTON JAMES D.²

Affiliation:

1. IFISC (Instituto de Física Interdisciplinar y Sistemas Complejos), UIB-CSIC, Campus UIB, 07122 Palma de Mallorca, Spain

2. Department of Physics, Lehigh University, Bethlehem, Pennsylvania 18015, USA

Abstract

The purpose of this paper is to analyze in some detail the arguably simplest case of diversity-induced resonance: 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127409024931

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