Moser's theorem for lower dimensional tori
DOI10.1016/j.jde.2004.06.014zbMath1144.37444OpenAlexW2148650981MaRDI QIDQ1886301
Luigi Chierchia, Qian, Dingbian
Publication date: 18 November 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2004.06.014
KAM theoryKolmogorov's theoremSmoothing techniquesSmall divisorsFast convergent methodsLower dimensional toriNearly-integrable Hamiltonian systemsSmooth invariant tori
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items (24)
Cites Work
- The imbedding problem for Riemannian manifolds
- On elliptic lower dimensional tori in Hamiltonian systems
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- Perturbations of lower dimensional tori for Hamiltonian systems
- Nearly integrable infinite-dimensional Hamiltonian systems
- On Melnikov's persistency problem
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
- KAM theory in configuration space
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Convergent series expansions for quasi-periodic motions
- On the conservation of hyperbolic invariant tori for Hamiltonian systems
- Integrability of hamiltonian systems on cantor sets
- Generalized implicit function theorems with applications to some small divisor problems, I
- Newton's method and periodic solutions of nonlinear wave equations
- 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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