Normal form for lower dimensional elliptic tori in Hamiltonian systems
DOI10.3934/MINE.2022051OpenAlexW3217006773MaRDI QIDQ2167639
Publication date: 25 August 2022
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.09824
KAM theorylower dimensional invariant torinormal form methodsperturbation theory for Hamiltonian systems
General perturbation schemes for nonlinear problems in mechanics (70K60) 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) Nearly integrable Hamiltonian systems, KAM theory (70H08) Averaging of perturbations for nonlinear problems in mechanics (70K65)
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- On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems
- Convergence radius in the Poincaré-Siegel problem
- Branching of Cantor manifolds of elliptic tori and applications to PDEs
- On elliptic lower dimensional tori in Hamiltonian systems
- Convergence of Birkhoff normal form for essentially isochronous systems
- Twistless KAM tori
- Invariant KAM tori and global stability for Hamiltonian systems
- Kolmogorov theorem and classical perturbation theory
- Elliptic two-dimensional invariant tori for the planetary three-body problem
- Superexponential stability of KAM tori.
- Localization of energy in FPU chains
- Computer-assisted estimates for Birkhoff normal forms
- On the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system
- Improved convergence estimates for the Schröder-Siegel problem
- A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems
- Kolmogorov and Nekhoroshev theory for the problem of three bodies
- The Fermi-Pasta-Ulam problem. A status report
- Convergent series expansions for quasi-periodic motions
- Elliptic tori in FPU non-linear chains with a small number of nodes
- A KAM theorem without action-angle variables for elliptic lower dimensional tori
- KAM stability and celestial mechanics
- Rigorous estimates for a computer-assisted KAM theory
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- METHODS FOR THE ANALYSIS OF THE LINDSTEDT SERIES FOR KAM TORI AND RENORMALIZABILITY IN CLASSICAL MECHANICS: A review with Some Applications
- Improved estimates on the existence of invariant tori for Hamiltonian systems
- N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
- Invariant tori in the secular motions of the three-body planetary systems
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