2 papers
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
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…