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Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain

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Abstract

We consider a circular chain ofN particles with nearest neighbour interaction. Under a condition which is generically fulfilled all periodic solutions near a normal mode frequency are obtained and their symmetry properties are investigated. The genericity condition is explicitly evaluated for a three particle system.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Free University, P.O. Box 7161, 1007 MC, Amsterdam, The Netherlands

    Stephan A. van Gils

  2. Center for Theoretical Physics, Twente University of Technology, P.O. Box 217, 7500 AE, Enschede, The Netherlands

    Theo Valkering

Authors
  1. Stephan A. van Gils
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  2. Theo Valkering
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van Gils, S.A., Valkering, T. Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain. Japan J. Appl. Math. 3, 207–222 (1986). https://doi.org/10.1007/BF03167098

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  • DOI: https://doi.org/10.1007/BF03167098

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