Conference abstracts

Session B1 - Computational Dynamics

July 13, 17:30 ~ 18:00 - Room B1

Splitting of separatrices in a Hamiltonian-Hopf bifurcation under periodic forcing

Carles Simó

Universitat de Barcelona, Spain   -

We consider a Hamiltonian system given by a suitable truncation of the normal form of the Hamiltonian-Hopf bifurcation plus a concrete periodic non-autonomous perturbation. The goal is to study the behavior of the splitting of the 2-dimensional separatrices. Theoretical results are compared with direct computations of the invariant manifolds. An analysis of the associated Poincar\'e-Melnikov integral provides a description of the sequence of parameters corresponding to changes on the dominant harmonics of the splitting function.

Joint work with Ernest Fontich (Universitat de Barcelona) and Arturo Vieiro (Universitat de Barcelona).

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