A geometric characterisation of resonance in Hopf bifurcation from relative equilibria |
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| Authors: | David Chan |
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| Institution: | Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey, GU2 7XH, UK |
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| Abstract: | We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem. |
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| Keywords: | Resonant Hopf bifurcation Relative periodic solutions Compact symmetry group Normal form |
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