267 citations · 420 across the 25 of their papers we have counts for
32 papers
Effective shadowing of transition maps for a Hamiltonian saddle-center-center equilibrium
Rodney L. Anderson, Amadeu Delshams, Marian Gidea +1
We introduce a general methodology to construct globally unstable trajectories near the normally hyperbolic invariant manifold (NHIM) of a saddle-center-center Hamiltonian equilibr…
Geometric, topological and dynamical properties of conformally symplectic systems, normally hyperbolic invariant manifolds, and scattering maps
Marian Gidea, Rafael de la Llave, Tere M-Seara
Conformally symplectic diffeomorphisms transform a symplectic form on a manifold M into a multiple of itself, . We assume is bounded, as some…
Arnold diffusion in the elliptic Hill four-body problem: geometric method and numerical verification
Jaime Burgos, Marian Gidea, Claudio Sierpe
We present a mechanism for Arnold diffusion in energy in a model of the elliptic Hill four-body problem. Our model is expressed as a small perturbation of the circular Hill four-bo…
Arnold Diffusion in the Full Three-Body Problem
Maciej J. Capinski, Marian Gidea
The full three-body problem, on the motion of three celestial bodies under their mutual gravitational attraction, is one of the oldest unsolved problems in classical mechanics. The…
Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP
Amadeu Delshams, Marian Gidea, Pablo Roldan
Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point…
Energy Transport in Random Perturbations of Mechanical Systems
Anna Maria Cherubini, Marian Gidea
We describe a mechanism for transport of energy in a mechanical system consisting of a pendulum and a rotator subject to a random perturbation. The perturbation that we consider is…