Nekhoroshev estimates for steep real-analytic elliptic equilibrium points

DOI10.1088/1361-6544/ab4c89zbMath1429.37031OpenAlexW2990057103MaRDI QIDQ5244405

Laurent Niederman, Bassam Fayad, Abed Bounemoura

Publication date: 21 November 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://basepub.dauphine.fr/handle/123456789/20372

zbMATH Keywords

perturbation theoryHamiltonian systemsstability theory

Mathematics Subject Classification ID

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)

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Cites Work

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• The steep Nekhoroshev's theorem
• Generic Nekhoroshev theory without small divisors
• Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
• Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• Superexponential stability of KAM tori.
• Effective stability and KAM theory
• Aspects of the planetary Birkhoff normal form
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system
• Complex analysis and convolution operators
• Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
• Prevalence of exponential stability among nearly integrable Hamiltonian systems