Variational approach to Arnold diffusion

DOI10.1007/s11425-019-1553-3zbMath1427.37049OpenAlexW2978435855WikidataQ127174487 ScholiaQ127174487MaRDI QIDQ2010433

Jinxin Xue, Chong-Qing Cheng

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1007/s11425-019-1553-3

zbMATH Keywords

normal formvariational methodsnormal hyperbolicityArnold diffusionAubry set

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items

Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, Arnold Diffusion in a Model of Dissipative System

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