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Steady-State/Steady-State Mode Interaction in Nonlinear Equations with Z2-Symmetry

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Continuation and Bifurcations: Numerical Techniques and Applications

Part of the book series: NATO ASI Series ((ASIC,volume 313))

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Abstract

This paper is concerned with an example of steady-state/steady-state mode interaction in two parameter nonlinear problems satisfying a Z2-symmetry (equivariance) condition. Specifically we analyze the solution structure near a point where a path of symmetry-breaking bifurcations and a path of fold points intersect. The treatment is such that numerical information is obtained which could prove useful when switching from one path to another.

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References

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    W. Wu & A. Spence

  2. Theoretical Physics Division, AEA Technology, Harwell Oxfordshire, OX11 0RA, UK

    K. A. Cliffe

  3. Department of Mathematics, University of Jilin, Changchun, China

    W. Wu

Authors
  1. W. Wu
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  2. K. A. Cliffe
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  3. A. Spence
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Katholieke Universiteit Leuven, Leuven, Belgium

    Dirk Roose

  2. Avery STDE, Turnhout, Belgium

    Bart De Dier

  3. School of Mathematical Sciences, University of Bath, Bath, UK

    Alastair Spence

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© 1990 Kluwer Academic Publishers

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Wu, W., Cliffe, K.A., Spence, A. (1990). Steady-State/Steady-State Mode Interaction in Nonlinear Equations with Z2-Symmetry. In: Roose, D., Dier, B.D., Spence, A. (eds) Continuation and Bifurcations: Numerical Techniques and Applications. NATO ASI Series, vol 313. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0659-4_6

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  • DOI: https://doi.org/10.1007/978-94-009-0659-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6781-2

  • Online ISBN: 978-94-009-0659-4

  • eBook Packages: Springer Book Archive

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