Normal Form Near Orbit Segments of Convex Hamiltonian Systems

DOI10.1093/imrn/rnaa344zbMath1506.37080arXiv2004.11102OpenAlexW3122085943WikidataQ125771363 ScholiaQ125771363MaRDI QIDQ5090548

Shahriar Aslani, Patrick Bernard

Publication date: 20 July 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11102

zbMATH Keywords

Hamiltonian systemscotangent bundlesMaupertuis principleKupka-Smale TheoremMañé genericityMañé perturbations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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Non-degeneracy of closed orbits for generic potentials

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