06-53 Henk W. Broer, M. Cristina Ciocci, Heinz Hanßmann

The quasi-periodic reversible Hopf bifurcation (2227K, PostScript) Mar 6, 06

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Abstract. We consider reversible systems near a quasi-periodic invariant torus that is in a normal-internal 1:1 resonance. Aim is to describe the dynamics of a generic unfolding model. It turns out that a quasi-periodic reversible Hopf bifurcation is involved. Using KAM theory, we describe how the resulting invariant tori of maximal and lower dimensions are parametrised by Cantor sets.

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