On the algebraic properties of exponentially stable integrable Hamiltonian systems
DOI10.5802/afst.1723OpenAlexW4300411255MaRDI QIDQ2103477
Publication date: 13 December 2022
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.09731
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) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items (2)
Cites Work
- Unnamed Item
- Superexponential stability of quasi-periodic motion in Hamiltonian systems
- Kolmogorov's 1954 paper on nearly-integrable Hamiltonian systems
- Construction of a Nekhoroshev like result for the asteroid belt dynamical system
- Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
- On steepness of 3-jet non-degenerate functions
- Hamiltonian stability and subanalytic geometry
- Aspects of the planetary Birkhoff normal form
- Generic diffusion for a class of non-convex Hamiltonians with two degrees of freedom
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- STABLE LOWER ESTIMATES FOR SMOOTH MAPPINGS AND FOR GRADIENTS OF SMOOTH FUNCTIONS
- Prevalence of exponential stability among nearly integrable Hamiltonian systems
- On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev
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