Exponential stability for small perturbations of steep integrable Hamiltonian systems – CORRIGENDUM

DOI10.1017/etds.2013.113zbMath1291.37095OpenAlexW2133308553MaRDI QIDQ5166524

Laurent Niederman

Publication date: 27 June 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2013.113

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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The steep Nekhoroshev's theorem

Cites Work

• Generic Nekhoroshev theory without small divisors
• Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
• Exponential stability for small perturbations of steep integrable Hamiltonian systems
• Prevalence of exponential stability among nearly integrable Hamiltonian systems