A new proof of Moser's theorem

DOI10.11948/20220161MaRDI QIDQ6598217

Jiamin Xing, Chang Liu

Publication date: 4 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

intersection propertytwist mappinghigh-dimensional Moser's theorem

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40)

Cites Work

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• Existence of invariant tori in three-dimensional measure-preserving mappings
• Uniqueness properties of the KAM curve
• KAM quasi-periodic solutions for the dissipative standard map
• A KAM theorem for finitely differentiable Hamiltonian systems
• Melnikov's conditions in matrices
• V. I. Arnold's ``Global KAM theorem and geometric measure estimates
• Existence of periodically invariant tori on resonant surfaces for twist mappings
• Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2
• Existence of invariant tori in volume-preserving diffeomorphisms
• Generalized implicit function theorems with applications to some small divisor problems, I
• Generalized implicit function theorems with applications to some small divisor problems, II
• Persistence of invariant tori in generalized Hamiltonian systems
• 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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Moser's theorem with frequency-preserving

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