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The action spectrum near positive definite invariant tori

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Publication:4810339
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DOI10.24033/bsmf.2457zbMath1053.37035OpenAlexW2510179416MaRDI QIDQ4810339

Patrick Bernard

Publication date: 3 September 2004

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/Publications/Bulletin/131/html/smf_bull_131_603-616.html


zbMATH Keywords

normal formAubry-Mather theoryLagrangian systemsinvariant torusaction spectrumminimizing orbitsaveraged action


Mathematics Subject Classification ID

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


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The Aubry set and Mather set in the embedded contact Hamiltonian system ⋮ Marked length spectral determination of analytic chaotic billiards with axial symmetries ⋮ Viscous stability of quasi-periodic tori ⋮ The dynamics of pseudographs in convex Hamiltonian systems ⋮ A Survey of partial differential equations methods in weak KAM theory ⋮ Symplectic homogenization




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