THEME SECTION: Instabilities and Nonequilibrium Structures — PapersNo Access

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

RAÚL TORAL

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

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EMILIO HERNÁNDEZ-GARCÍA

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

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, and

JAMES D. GUNTON

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

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https://doi.org/10.1142/S0218127409024931Cited by:12 (Source: Crossref)

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.

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