Arnold diffusion for nearly integrable Hamiltonian systems

DOI10.1007/s11425-022-2118-1arXiv1207.4016MaRDI QIDQ6171726

Jinxin Xue, Chong-Qing Cheng

Publication date: 14 August 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4016

zbMATH Keywords

normal formArnold diffusionAubry setladdercohomological equivalencenormally hyperbolic invariant cylinder

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) 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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