Resonance induced by repulsive interactions in a model of globally-coupled bistable systems
Statistical Mechanics
2013-05-29 v1 Disordered Systems and Neural Networks
Chaotic Dynamics
Abstract
We show the existence of a competition-induced resonance effect for a generic globally coupled bistable system. In particular, we demonstrate that the response of the macroscopic variable to an external signal is optimal for a particular proportion of repulsive links. Furthermore, we show that a resonance also occurs for other system parameters, like the coupling strength and the number of elements. We relate this resonance to the appearance of a multistable region, and we predict the location of the resonance peaks, by a simple spectral analysis of the Laplacian matrix.
Keywords
Cite
@article{arxiv.1001.2993,
title = {Resonance induced by repulsive interactions in a model of globally-coupled bistable systems},
author = {T. Vaz Martins and V. N. Livina and A. P. Majtey and R. Toral},
journal= {arXiv preprint arXiv:1001.2993},
year = {2013}
}