A Geometric Characterisation of Resonance in Hopf Bifurcation from Relative Equilibria
نویسندگان
چکیده
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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