31 citations · 163 across the 23 of their papers we have counts for
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Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification
Maciej J. Capinski, Marian Gidea, Rafael de la Llave
We present a diffusion mechanism for time-dependent perturbations of autonomous Hamiltonian systems introduced in [25]. This mechanism is based on shadowing of pseudo-orbits genera…
Resonant equilibrium configurations in quasi-periodic media: KAM theory
Rafael de la Llave, Xifeng Su, Lei Zhang
We develop an a-posteriori KAM theory for the equilibrium equations for quasi-periodic solutions in a quasi-periodic Frenkel-Kontorova model when the frequency of the solutions res…
Resonant Equilibrium configurations in quasi-periodic media: perturbative expansions
Rafael de la Llave, Xifeng Su, Lei Zhang
We consider 1-D quasi-periodic Frenkel-Kontorova models. We study the existence of equilibria whose frequency (i.e. the inverse of the density of deposited material) is resonant wi…
Response solutions for quasi-periodically forced, dissipative wave equations
Renato C. Calleja, Alessandra Celletti, Livia Corsi +1
We consider several models of nonlinear wave equations subject to very strong damping and quasi-periodic external forcing. This is a singular perturbation, since the damping is not…