English

Synchronization of two interacting populations of oscillators

Adaptation and Self-Organizing Systems 2009-11-10 v2

Abstract

We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled populations of identical oscillators (Okuda and Kuramoto, 1991). It includes three types of bistabilities, higher order entrainment and the existence of states with unusual stability properties. All possible routes to synchronization of the populations are presented and some stability boundaries are obtained analytically.

Cite

@article{arxiv.nlin/0406004,
  title  = {Synchronization of two interacting populations of oscillators},
  author = {Ernest Montbrió and Jürgen Kurths and Bernd Blasius},
  journal= {arXiv preprint arXiv:nlin/0406004},
  year   = {2009}
}

Comments

4 pages, 4 figures