1 citations · 2 across the 6 of their papers we have counts for
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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…
Shadowing of non-transversal heteroclinic chains in lattices
Amadeu Delshams, Piotr Zgliczynski
We deal with dynamical systems on complex lattices possessing chains of non-transversal heteroclinic connections between several periodic orbits. The systems we consider are inspir…