Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
Abstract
We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a mean-field treatment with a Gaussian approximation allows us to find examples where the infinite-dimensional system is reduced to a few ordinary differential equations. Our focus lies in the cooperative behavior in a population consisting of two parts, where one is composed of excitable elements, while the other one contains only self-oscillatory units. Surprisingly, excitable behavior in the whole system sets in only if the excitable elements have a smaller coupling strength than the self-oscillating units. In this way positive local correlations between natural frequencies and couplings shape the global behavior of mixed populations of excitable and oscillatory elements.
Keywords
Cite
@article{arxiv.1404.6980,
title = {Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations},
author = {Bernard Sonnenschein and Thomas K. DM. Peron and Francisco A. Rodrigues and Jürgen Kurths and Lutz Schimansky-Geier},
journal= {arXiv preprint arXiv:1404.6980},
year = {2014}
}
Comments
10 pages, 6 figures, published in Eur. Phys. J. B