11-132 Amadeu Delshams, Marian Gidea, Pablo Roldan

Transition map and shadowing lemma for normally hyperbolic invariant manifolds (378K, PDF) Sep 15, 11

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Abstract. For a given a normally hyperbolic invariant manifold, whose stable and unstable manifolds intersect transversally, we consider several tools and techniques to detect orbits with prescribed trajectories: the scattering map, the transition map, the method of correctly aligned windows, and the shadowing lemma. We provide an user's guide on how to apply these tools and techniques to detect unstable orbits in Hamiltonian systems.

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