Perturbation estimates of weak KAM solutions and minimal invariant sets for nearly integrable Hamiltonian systems

DOI10.1090/proc/13193zbMath1351.37229OpenAlexW2316796792MaRDI QIDQ2832821

Qinbo Chen, Min Zhou

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13193

zbMATH Keywords

Mather theoryperturbation estimatesweak KAM solutionsminimal invariant sets

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)

Related Items (2)

Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus ⋮ Regular dependence of the Peierls barriers on perturbations

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