Finite dimensional invariant KAM tori for tame vector fields
From MaRDI portal
Publication:4967312
DOI10.1090/tran/7699zbMath1420.37108arXiv1611.01641OpenAlexW2963229152MaRDI QIDQ4967312
Livia Corsi, Roberto Feola, Michela Procesi
Publication date: 3 July 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.01641
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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Cites Work
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- KAM for autonomous quasi-linear perturbations of mKdV
- Reducible quasi-periodic solutions for the non linear Schrödinger equation
- KAM for the Klein Gordon equation on \(\mathbb {S}^d\)
- A KAM algorithm for the resonant non-linear Schrödinger equation
- Quasi-periodic solutions for quasi-linear generalized KdV equations
- Quasi-periodic solutions of forced Kirchhoff equation
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- Branching of Cantor manifolds of elliptic tori and applications to PDEs
- A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- KAM for the nonlinear Schrödinger equation
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Quasi-periodic solutions for a nonlinear wave equation
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type
- An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds
- A KAM result on compact Lie groups
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- The reversible context 2 in KAM theory: the first steps
- KAM for reversible derivative wave equations
- Convergent series expansions for quasi-periodic motions
- Standing waves on an infinitely deep perfect fluid under gravity
- A lecture on the classical KAM theorem
- A Nash-Moser Approach to KAM Theory
- KAM theory for the Hamiltonian derivative wave equation
- Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential
- KAM tori for reversible partial differential equations
- Periodic solutions of forced Kirchhoff equations
- Generalized implicit function theorems with applications to some small divisor problems, II
- Newton's method and periodic solutions of nonlinear wave equations
- Canonical Coordinates with Tame Estimates for the Defocusing NLS Equation on the Circle
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
