40 citations · 127 across the 23 of their papers we have counts for
26 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…
A method of reduction for invariant curves of quasiperiodically forced maps
Amadeu Delshams, Rafael Ortega
The existence of translated curves for quasiperiodically forced maps is established, under very mild regularity hypotheses, for rotation numbers of constant type. Among the transla…
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…
Generic global diffusion for analytic uncoupled a priori unstable systems
Amadeu Delshams, Ke Zhang
We show that given a general uncoupled a priori unstable Hamiltonian \[ \frac12 p^2 + V(q) + G(I) + εh(p, q, I, φ, t), \] where is a generic Mañé analytic function and is s…
Breakdown of homoclinic orbits to of the hydrogen atom in a circularly polarized microwave field
Amadeu Delshams, Mercè Ollé, Juan Ramon Pacha +1
We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a 2 d.o.f. Hamiltonian, which is a perturbation of size of the stan…
Polynomial normal forms for ODEs near a center-saddle equilibrium point
Amadeu Delshams, Piotr Zgliczynski
In this work we consider a saddle-center equilibrium for general vector fields as well as Hamiltonian systems, and we transform it locally into a polynomial normal form in the sadd…