Bifurcation from Periodic Solutions with Spatiotemporal Symmetry

@inproceedings{Lamb1998BifurcationFP,
  title={Bifurcation from Periodic Solutions with Spatiotemporal Symmetry},
  author={Jeroen S. W. Lamb and Ian Melbourne},
  year={1998}
}
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 justiies certain heuristic assumptions underlying previous approaches towards period preserving and period doubling bifurcation from periodic solutions. 
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