Synchronization of spatiotemporal patterns in locally coupled excitable media

Michael Hildebrand, Jianxia Cui, Eugene Mihaliuk, Jichang Wang, and Kenneth Showalter
Phys. Rev. E 68, 026205 – Published 14 August 2003
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Abstract

The synchronization of two distributed Belousov-Zhabotinsky systems is experimentally and theoretically investigated. Symmetric local coupling of the systems is made possible with the use of a video camera–projector scheme. The spatial disorder of the coupled systems, with random initial configurations of spirals, gradually decreases until a final state is attained, which corresponds to a synchronized state with a single spiral in each system. The experimental observations are confirmed with numerical simulations of two identical Oregonator models with symmetric local coupling, and a systematic study reveals generalized synchronization of spiral waves. Several different types of synchronization attractors are distinguished.

  • Received 20 March 2003

DOI:https://doi.org/10.1103/PhysRevE.68.026205

©2003 American Physical Society

Authors & Affiliations

Michael Hildebrand1,2, Jianxia Cui1, Eugene Mihaliuk1, Jichang Wang1,3, and Kenneth Showalter1,2

  • 1Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA
  • 2Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany
  • 3Department of Chemistry and Biochemistry, University of Windsor, Windsor, Ontario, Canada N9B 3P4

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Vol. 68, Iss. 2 — August 2003

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