Wave Mediated Synchronization of Nonuniform Oscillatory Media

On-Uma Kheowan, Eugene Mihaliuk, Bernd Blasius, Irene Sendiña-Nadal, and Kenneth Showalter
Phys. Rev. Lett. 98, 074101 – Published 13 February 2007
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Abstract

We characterize the spatiotemporal evolution of a photosensitive Belousov-Zhabotinsky medium that is made up of coupled oscillatory cells with randomly distributed frequencies. The medium evolves from an initial state of multiple wave sources to a synchronized state governed by a single wave source. The synchronization occurs via a competition between the sources, which arises when the oscillators are not identical but have slightly different natural frequencies. The evolution of each cell is monitored to demonstrate frequency and phase synchronization of the inhomogeneous cellular medium, and a simple kinematic description for the advance of the phase-diffusion wave is presented.

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  • Received 16 June 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.074101

©2007 American Physical Society

Authors & Affiliations

On-Uma Kheowan1,2, Eugene Mihaliuk1, Bernd Blasius3, Irene Sendiña-Nadal4, and Kenneth Showalter1

  • 1Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA
  • 2Department of Chemistry, Mahidol University, Rama 6 Road, Bangkok 10400, Thailand
  • 3ICBM, University of Oldenburg, 26111 Oldenburg, Germany
  • 4Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n 28933 Móstoles, Madrid, Spain

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Issue

Vol. 98, Iss. 7 — 16 February 2007

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