Mode Interactions With Symmetry |
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Authors: | S B S D Castro |
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Affiliation: |
a Mathematics Institute, University of Warwick, Coventry, UK |
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Abstract: | We prove several results concerning problems invariant under the action of an arbitrary compact Lie group Γ. These include the existence of mixed-mode solutions and secondary Hopf bifurcations. We provide a definition of mode interaction which applies to a wide selection of problems and consider the unfolding of the equations characterizing such problems. Where appropriate, we distinguish the case when I acts trivially on one of the modes |
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Keywords: | |
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