15 citations · 17 across the 6 of their papers we have counts for
6 papers
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…
Stationary motion of a self gravitating toroidal incompressible liquid layer
Giorgio Fusco, Piero Negrini, Waldyr M. Oliva
We consider an incompressible fluid contained in a toroidal stratum which is only subjected to Newtonian self-attraction. Under the assumption of infinitesimal tickness of the stra…
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…
Directed current in quasi-adiabatically ac-driven nonlinear systems
Paolo Buttà, Piero Negrini
We rigorously prove the existence of directed transport for a certain class of ac-driven nonlinear one dimensional systems, namely the generation of transport with a preferred dire…
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.