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Breathing spiral waves in the chlorine dioxide–iodine–malonic acid reaction-diffusion system

Igal Berenstein1, Alberto P. Muñuzuri1, Lingfa Yang2, Milos Dolnik2, Anatol M. Zhabotinsky2, and Irving R. Epstein2

  • 1Group of Complex Systems, Universidade de Santiago de Compostela, E-15782, Santiago de Compostela, Spain
  • 2Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA

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Phys. Rev. E 78, 025101(R) – Published 11 August, 2008

DOI: https://doi.org/10.1103/PhysRevE.78.025101

Abstract

Breathing spiral waves are observed in the oscillatory chlorine dioxide-iodine-malonic acid reaction-diffusion system. The breathing develops within established patterns of multiple spiral waves after the concentration of polyvinyl alcohol in the feeding chamber of a continuously fed, unstirred reactor is increased. The breathing period is determined by the period of bulk oscillations in the feeding chamber. Similar behavior is obtained in the Lengyel-Epstein model of this system, where small amplitude parametric forcing of spiral waves near the spiral wave frequency leads to the formation of breathing spiral waves in which the period of breathing is equal to the period of forcing.

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Outline

Information

Phys. Rev. E 78, 025101(R)– Published 11 August, 2008
  • Received 31 August 2007

© 2008 American Physical Society

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