267 citations · 420 across the 25 of their papers we have counts for
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math.DS2012
Transition map and shadowing lemma for normally hyperbolic invariant manifolds
Amadeu Delshams, Marian Gidea, Pablo Roldan
For a given a normally hyperbolic invariant manifold, whose stable and unstable manifolds intersect transversally, we consider several tools and techniques to detect trajectories w…
math.DS2012
Diffusion along transition chains of invariant tori and Aubry-Mather sets
Marian Gidea, Clark Robinson
We describe a topological mechanism for the existence of diffusing orbits in a dynamical system satisfying the following assumptions: (i) the phase space contains a normally hyperb…
math.DS2012
Geometry of Weak Stability Boundaries
Edward Belbruno, Marian Gidea, Francesco Topputo
The notion of a weak stability boundary has been successfully used to design low energy trajectories from the Earth to the Moon. The structure of this boundary has been investigate…