On the persistence of lower-dimensional invariant hyperbolic tori for smooth Hamiltonian systems

DOI10.1088/0951-7715/13/1/309zbMath1005.37029OpenAlexW2031946361MaRDI QIDQ4789794

Debin Huang, Zeng-Rong Liu

Publication date: 27 February 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/55304

zbMATH Keywords

nonresonancegeometrical opticsnormally hyperbolic invariant manifoldsnondegeneracyquasi-periodic perturbationsKolmogorov-Arnold-Moser theoremHamiltonian systems with perturbations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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