Synchronization of two interacting populations of oscillators

Details Synchronization of two interacting populations of oscillators Synchronization of two interacting populations of oscillators

2004-06-03

arxiv.org/abs/nlin/0406004v2

Phys. Rev. E 70, 056125 (2004)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.70.056125

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.

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