Bifurcation from Discrete Rotating Waves

  title={Bifurcation from Discrete Rotating Waves},
  author={Jeroen S. W. Lamb and Ian Melbourne},
Discrete rotating waves are periodic solutions that have discrete spatiotemporal symmetries in addition to their purely spatial symmetries. We present a systematic approach to the study of local bifurcation from discrete rotating waves. The approach centers around the analysis of diffeomorphisms that are equivariant with respect to distinct group actions in the domain and the range. Our results are valid for dynamical systems with finite symmetry group, and more generally for bifurcations from… CONTINUE READING


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