15 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
Shilnikov Lemma for a nondegenerate critical manifold of a Hamiltonian system
Sergey Bolotin, Piero Negrini
We prove an analog of Shilnikov Lemma for a normally hyperbolic symplectic critical manifold of a Hamiltonian system. Using this result, trajectories with smal…
Variational approach to second species periodic solutions of Poincaré of the 3 body problem
Sergey Bolotin, Piero Negrini
We consider the plane 3 body problem with 2 of the masses small. Periodic solutions with near collisions of small bodies were named by Poincaré second species periodic solutions. S…
Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical -Body Problem
G. Fusco, G. F. Gronchi, P. Negrini
We prove the existence of a number of smooth periodic motions of the classical Newtonian -body problem which, up to a relabeling of the particles, are invariant under…
Resonances and O-curves in Hamiltonian systems
Paolo Buttà, Piero Negrini
We investigate the problem of the existence of trajectories asymptotic to elliptic equilibria of Hamiltonian systems in the presence of resonances.