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Phase synchronization and topological defects in inhomogeneous media

Jörn Davidsen and Raymond Kapral
Phys. Rev. E 66, 055202(R) – Published 18 November 2002
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Abstract

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of phase synchronization in the vicinities of the defects; however, the system is much more phase coherent as long as the coupling between the oscillators is strong enough to prohibit the continuous dynamical creation and annihilation of defects. The generic occurrence of topological defects in two and higher dimensions implies that the concept of phase synchronization has to be modified for these systems.

  • Received 26 July 2002

DOI:https://doi.org/10.1103/PhysRevE.66.055202

©2002 American Physical Society

Authors & Affiliations

Jörn Davidsen* and Raymond Kapral

  • Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Canada ON M5S 3H6

  • *Electronic address: joern.davidsen@utoronto.ca
  • Electronic address: rkapral@chem.utoronto.ca

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Vol. 66, Iss. 5 — November 2002

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