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

Abstract

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.

Reported at the XI International Workshop "Instabilities and Nonequilibrium Structures" Vina del Mar (Chile)

References in corpus (8)

• Diversity-induced resonance
• Amplified signal response in scale-free networks by collaborative signaling
• Global firing induced by noise or diversity in excitable media
• Sparse repulsive coupling enhances synchronization in complex networks
• Collective effects induced by diversity in extended systems
• On the Collective Behavior of Parametric Oscillators
• Spatial Patterns Induced Purely by Dichotomous Disorder
• Global firing induced by network disorder in ensembles of active rotators

Cited by in corpus (10)

• Synchronization and entrainment of coupled circadian oscillators
• Diversity-induced resonance in a model for opinion formation
• Hubs, diversity, and synchronization in FitzHugh-Nagumo oscillator networks: Resonance effects and biophysical implications
• Resonance induced by repulsive interactions in a model of globally-coupled bistable systems
• Critical behavior of a Ginzburg-Landau model with additive quenched noise
• Synchronisation Induced by Repulsive Interactions in a System of van der Pol Oscillators
• Phase transitions induced by microscopic disorder: a study based on the order parameter expansion
• The interplay between diversity and noise in an excitable cell network model
• Diversity-induced decoherence
• Effect of diversity distribution symmetry on global oscillations of networks of excitable units