Transition map and shadowing lemma for normally hyperbolic invariant manifolds

Author:

Delshams Amadeu, ,Gidea Marian,Roldán Pablo, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference22 articles.

1. Instability of dynamical systems with several degrees of freedom,;V. I. Arnold;Sov. Math. Doklady,1964

2. "Differential Geometry and Topology. With a View to Dynamical Systems,'';K. Burns;Studies in Advanced Mathematics. Chapman & Hall/CRC,2005

3. Hyperbolicity versus partial-hyperbolicity and the transversality-torsion phenomenon,;J. Cresson;J. Differential Equations,2008

4. Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-numerical argument,;A. Delshams;preprint,2010

5. A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of $T^2$,;A. Delshams;Comm. Math. Phys.,2000

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