Broer, Henk W.

Ciocci, M. Cristina

Hanssmann, Heinz

English

We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:1 resonant invariant tori. We focus on the generic quasi-periodic reversible Hopf bifurcation and address the persistence problem for integrable quasi-periodic tori near the bifurcation point. Using KAM theory, we describe how the resulting invariant tori of maximal and lower dimensions are parameterized by Cantor sets.</p

ARTS repository - University of Groningen

The quasi-periodic reversible Hopf bifurcation

https://pure.rug.nl/ws/files/2809769/2007IntJBifurcChaosBroer.pdf

The quasi-periodic reversible Hopf bifurcation

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ARTS repository - University of Groningen