The genericity of Arnold diffusion in nearly integrable Hamiltonian systems

DOI10.4310/AJM.2019.v23.n3.a3zbMath1417.37211arXiv1801.02921MaRDI QIDQ2312592

Chong-Qing Cheng

Publication date: 17 July 2019

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02921

zbMATH Keywords

Arnold diffusiondynamical instability

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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Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, \(C^1\)-continuation of periodic orbits from homoclinics, Arnold diffusion for nearly integrable Hamiltonian systems, Oscillatory orbits in the restricted planar four body problem, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, Perturbation estimates of weak KAM solutions and minimal invariant sets for nearly integrable Hamiltonian systems, Diffusing orbits along chains of cylinders