Vaz Martins T, Livina V N, Majtey A P, Toral R
IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos, CSIC-UIB, Campus UIB, E-07122 Palma de Mallorca, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Apr;81(4 Pt 1):041103. doi: 10.1103/PhysRevE.81.041103. Epub 2010 Apr 9.
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.
我们展示了对于一般的全局耦合双稳系统存在竞争诱导共振效应。特别地，我们证明了宏观变量对外界信号的响应对于特定比例的排斥连接是最优的。此外，我们表明对于其他系统参数，如耦合强度和元件数量，也会出现共振。我们将这种共振与多稳区域的出现联系起来，并通过对拉普拉斯矩阵的简单频谱分析预测共振峰的位置。
