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Global normally hyperbolic invariant cylinders in Lagrangian systems

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Publication:727687
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DOI10.4310/MRL.2016.v23.n3.a6zbMath1381.37071MaRDI QIDQ727687

Min Zhou, Chong-Qing Cheng

Publication date: 20 December 2016

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

homology classTonelli Lagrangianminimal periodic orbit


Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Lagrangian submanifolds; Maslov index (53D12)


Related Items

\(C^1\)-continuation of periodic orbits from homoclinics, Arnold diffusion for nearly integrable Hamiltonian systems, High degeneracy of effective Hamiltonian in two dimensions, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, Variational approach to Arnold diffusion, Perturbation estimates of weak KAM solutions and minimal invariant sets for nearly integrable Hamiltonian systems



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