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Synchronization of two interacting populations of oscillators

2004/06/30 by Ernest Montbrió, Jürgen Kurths, Bernd Blasius · 1 citation
Physics and Astronomy · #nlin.AO

paper · pdf · doi:10.1103/physreve.70.056125

published as Phys. Rev. E 70, 056125 (2004) · 4 pages, 4 figures

arxiv created 2004/11/25 · arxiv updated 2009/12/01

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.

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