Cooperative behavior between oscillatory and excitable units: The peculiar role of positive coupling-frequency correlations

  • Sonnenschein B
  • Peron T
  • Rodrigues F
 et al. 
  • 19


    Mendeley users who have this article in their library.
  • 7


    Citations of this article.


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.

Author-supplied keywords

  • Statistical and Nonlinear Physics

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Bernard Sonnenschein

  • Thomas K.Dm Peron

  • Francisco A. Rodrigues

  • Jürgen Kurths

  • Lutz Schimansky-Geier

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free