Henk W. Broer, M. Cristina Ciocci, Heinz Hanßmann
The quasi-periodic reversible Hopf bifurcation
(2227K, PostScript)
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.