Normal form for families of Hamiltonian systems

DOI10.1007/s10114-005-0844-6zbMath1126.37041OpenAlexW2147135141MaRDI QIDQ2644348

Zhi Guo Wang

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0844-6

zbMATH Keywords

normal formKAMlower-dimensional toriresonant torus

Mathematics Subject Classification ID

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

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Cites Work

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• Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems
• KAM-type theorem on resonant surfaces for nearly integrable Hamiltonian systems
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• Generalized implicit function theorems with applications to some small divisor problems, I
• Bifurcations of normally parabolic tori in Hamiltonian systems
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