2 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
Global effect of non-conservative perturbations on homoclinic orbits
Marian Gidea, Rafael de la Llave, Maxwell Musser
We study the effect of time-dependent, non-conservative perturbations on the dynamics along homoclinic orbits to a normally hyperbolic invariant manifold. We assume that the unpert…
Hill four-body problem with oblate tertiary: an application to the Sun-Jupiter-Hektor-Skamandrios system
Jaime Burgos-Garcia, Alessandra Celletti, Catalin Gales +2
We consider a restricted four-body problem with a precise hierarchy between the bodies: two point-mass bigger bodies, a smaller one with oblate shape, and an infinitesimal body in…
Arnold Diffusion, Quantitative Estimates and Stochastic Behavior in the Three-Body Problem
Maciej J. Capinski, Marian Gidea
We consider a class of autonomous Hamiltonian systems subject to small, time-periodic perturbations. When the perturbation parameter is set to zero, the energy of the system is pre…
Combinatorial approach to detection of fixed points, periodic orbits, and symbolic dynamics
Marian Gidea, Yitzchak Shmalo
We present a combinatorial approach to rigorously show the existence of fixed points, periodic orbits, and symbolic dynamics in discrete-time dynamical systems, as well as to find…
Stability interchanges in a curved Sitnikov problem
Luis Franco-Pérez, Marian Gidea, Mark Levi +1
We consider a curved Sitnikov problem, in which an infinitesimal particle moves on a circle under the gravitational influence of two equal masses in Keplerian motion within a plane…