Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems

DOI10.1016/j.na.2005.01.106zbMath1079.37051arXivmath/0503530OpenAlexW2593004432MaRDI QIDQ556349

Zhenxin Liu

Publication date: 13 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503530

zbMATH Keywords

Hamiltonian systemKAM theoremLower dimensional invariant toriPersistence on submanifolds

Mathematics Subject Classification ID

Related Items (2)

Partial preservation of frequencies and Floquet exponents in KAM theory ⋮ Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2

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• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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