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Nonlinear PDE’s in Condensed Matter and Reactive Flows pp 149–167Cite as

Spirals in Excitable Media

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Part of the book series: NATO Science Series ((ASIC,volume 569))

Abstract

Spiral waves are remarkable structures observed in two-dimensional excitable media. They can be understood as deformations of half plane waves in the regime where the wave tip rotates on a circle which is much larger than the width of the one-dimensional pulse. We describe an asymptotic analysis of spirals and of their counterparts, retracting waves, from this viewpoint, in the free boundary limit where the propagating excited region is bounded by a sharp interface. Spiral drift in an imposed electric field is also described as an example of application of the analysis.

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Author information

Authors and Affiliations

  1. Laboratoire de Physique Statistique, 24 rue Lhomond, 75231, Paris Cedex 05, France

    V. Hakim

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  1. V. Hakim
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Editor information

Editors and Affiliations

  1. Ecole des hautes Etudes en Sciences Sociales, Paris, France

    Henri Berestycki

  2. Ecole Normale Supérieure, CNRS, Paris, France

    Yves Pomeau

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Hakim, V. (2002). Spirals in Excitable Media. In: Berestycki, H., Pomeau, Y. (eds) Nonlinear PDE’s in Condensed Matter and Reactive Flows. NATO Science Series, vol 569. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0307-0_7

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  • DOI: https://doi.org/10.1007/978-94-010-0307-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0973-0

  • Online ISBN: 978-94-010-0307-0

  • eBook Packages: Springer Book Archive

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