Super-exponential stability for generic real-analytic elliptic equilibrium points
From MaRDI portal
Publication:2309119
DOI10.1016/j.aim.2020.107088zbMath1442.37071arXiv1509.00285OpenAlexW3009930922WikidataQ115598710 ScholiaQ115598710MaRDI QIDQ2309119
Bassam Fayad, Laurent Niederman, Abed Bounemoura
Publication date: 27 March 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00285
Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)
Related Items (9)
About linearization of infinite-dimensional Hamiltonian systems ⋮ A remark on the onset of resonance overlap ⋮ KAM tori are no more than sticky ⋮ Positive measure of effective quasi-periodic motion near a Diophantine torus ⋮ On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians ⋮ Sub-exponential stability for the beam equation ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates ⋮ On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem ⋮ Instabilities of invariant quasi-periodic tori
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal stability and instability for near-linear Hamiltonians
- Generic Nekhoroshev theory without small divisors
- Superexponential stability of quasi-periodic motion in Hamiltonian systems
- Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
- Some open problems in dynamical systems
- Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
- Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
- Convergence or generic divergence of the Birkhoff normal form
- Superexponential stability of KAM tori.
- Estimates on invariant tori near an elliptic equilibrium point of a Hamiltonian system
- Instabilities of invariant quasi-periodic tori
- KAM tori are no more than sticky
- Around the stability of KAM tori
- Generic super-exponential stability of elliptic equilibrium positions for symplectic vector fields
- KAM-tori near an analytic elliptic fixed point
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Generic super-exponential stability of invariant tori in Hamiltonian systems
- Integrability of hamiltonian systems on cantor sets
- Herman’s last geometric theorem
- Stabilité ou instabilité des points fixes elliptiques
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system
- Stability of elliptic fixed points of analytic area-preserving mappings under the Bruno condition
- Lyapunov unstable elliptic equilibria
- Nekhoroshev estimates for steep real-analytic elliptic equilibrium points
- Prevalence of exponential stability among nearly integrable Hamiltonian systems
This page was built for publication: Super-exponential stability for generic real-analytic elliptic equilibrium points
