Arnold's Diffusion: from the a priori unstable to the a priori stable case

zbMath1251.37061arXiv1203.2893MaRDI QIDQ3096665

Patrick Bernard

Publication date: 11 November 2011

Full work available at URL: https://arxiv.org/abs/1203.2893

zbMATH Keywords

variational methodsaction minimizationweak KAM solutionsArnold's diffusionpartially hyperbolic torihomoclinic intersectionsnormally hyperbolic cylinder

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) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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