28 citations · 104 across the 15 of their papers we have counts for
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math.DS2015★ 23 cited
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…
math.DS2015
Geometric proof for normally hyperbolic invariant manifolds
Maciej J. Capiński, Piotr Zgliczyński
We present a new proof of the existence of normally hyperbolic manifolds and their whiskers for maps. Our result is not perturbative. Based on the bounds on the map and its derivat…