most citedSplitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing

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math.DS2025

Really perverse periodic solutions of the planar N-body problem

Dominique Bang, Alain Chenciner, Carles Simó

Examples are given of solutions of the planar N-body problem which remain the same for at least two systems of masses with the same sum and same center of mass. The least value of…

math.DS2018★ 6 cited

Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing

E. Fontich, C. Simó, A. Vieiro

We consider the effect of a non-autonomous periodic perturbation on a 2-dof autonomous system obtained as a truncation of the Hamiltonian-Hopf normal form. Our analysis focuses on…