267 citations · 420 across the 25 of their papers we have counts for
3 papers · 2 filters
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…
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…
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…