Diffusion times and stability exponents for nearly integrable analytic systems

DOI10.2478/BF02475913zbMath1107.37049MaRDI QIDQ2496111

Pierre Lochak, Jean-Pierre Marco

Publication date: 12 July 2006

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

perturbationsnormal formsArnold diffusionsmall divisors

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Arnold diffusion in a priori chaotic symplectic maps, Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, Fast drift and diffusion in a class of isochronous systems with the windows method, Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem, Global diffusion on a tight three-sphere, Arnold diffusion for a complete family of perturbations, Speed of Arnold diffusion for analytic Hamiltonian systems, Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders, Perturbations of geodesic flows by recurrent dynamics, An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension, Instability times for perturbations of integrable analytic systems., A \(\lambda\)-lemma for normally hyperbolic invariant manifolds, Computer assisted proof of drift orbits along normally hyperbolic manifolds, Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion, Analytic smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians, Instabilities of invariant quasi-periodic tori, Diffusion along transition chains of invariant tori and Aubry–Mather sets

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