On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians
DOI10.1007/s00013-023-01928-0OpenAlexW4389940634MaRDI QIDQ6189352
Publication date: 8 February 2024
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-023-01928-0
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) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Cites Work
- Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians
- Normal forms, stability and splitting of invariant manifolds. II: Finitely differentiable Hamiltonians
- Optimal stability and instability for near-linear Hamiltonians
- Superexponential stability of quasi-periodic motion in Hamiltonian systems
- Gevrey normal form and effective stability of Lagrangian tori
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
- Superexponential stability of KAM tori.
- KAM-stable Hamiltonians
- Analytic smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians
- Instabilities of invariant quasi-periodic tori
- KAM tori are no more than sticky
- Super-exponential stability for generic real-analytic elliptic equilibrium points
- Around the stability of KAM tori
- Stabilité ou instabilité des points fixes elliptiques
- On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
- Isolated elliptic fixed points for smooth Hamiltonians
- Lyapunov unstable elliptic equilibria
- Constructions in elliptic dynamics
- Positive measure of effective quasi-periodic motion near a Diophantine torus
- Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom
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