Diffusion along transition chains of invariant tori and Aubry–Mather sets

DOI10.1017/S0143385712000363zbMath1333.37088arXiv1204.1503OpenAlexW2964207109MaRDI QIDQ2873991

Clark Robinson, Marian Gidea

Publication date: 28 January 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1503

zbMATH Keywords

Arnold diffusionAubry-Mather setsshadowingdiffusing orbits

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Invariant manifold theory for dynamical systems (37D10) Index theory for dynamical systems, Morse-Conley indices (37B30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (7)

Arnold diffusion of charged particles in ABC magnetic fields ⋮ Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem ⋮ Arnold Diffusion in a Model of Dissipative System ⋮ Global diffusion on a tight three-sphere ⋮ On the set of points of zero torsion for negative-torsion maps of the annulus ⋮ Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument ⋮ Diffusing orbits along chains of cylinders

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