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arXiv · 1001.2993

Resonance induced by repulsive interactions in a model of globally-coupled bistable systems

T. Vaz Martins·V. N. Livina·A. P. Majtey·R. Toral
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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.

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T. Vaz Martins, V. N. Livina, A. P. Majtey, R. Toral. 2010-01-18. Resonance induced by repulsive interactions in a model of globally-coupled bistable systems. https://doi.org/10.1103/physreve.81.041103

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