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Bifurcation From Periodic Solutions with Spatiotemporal Symmetry

  • Jeroen S. W. Lamb
  • Ian Melbourne
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 115)

Abstract

In this paper, we discuss some recent developments in the understanding of generic bifurcation from periodic solutions with spatiotemporal symmetries. We focus mainly on the theory for bifurcation from isolated periodic solutions in dynamical systems with a compact symmetry group. Moreover, we discuss how our theory justifies certain heuristic assumptions underlying previous approaches towards period preserving and period doubling bifurcation from periodic solutions.

Keywords

Periodic Solution Irreducible Representation Hopf Bifurcation Period Doubling Period Doubling Bifurcation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Jeroen S. W. Lamb
    • 1
  • Ian Melbourne
    • 1
  1. 1.Department of MathematicsUniversity of HoustonHoustonUSA

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