Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians

DOI10.1016/j.jde.2010.06.004zbMath1206.37029arXiv1002.1804OpenAlexW2963310124MaRDI QIDQ603725

Abed Bounemoura

Publication date: 8 November 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1804

zbMATH Keywords

Hamiltonian systemNekhoroshev theorempolynomial stability

Mathematics Subject Classification ID

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

Related Items (12)

Arnold diffusion in a priori chaotic symplectic maps ⋮ Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians ⋮ Normal forms, stability and splitting of invariant manifolds. II: Finitely differentiable Hamiltonians ⋮ A \(C^\infty\) Nekhoroshev theorem ⋮ Optimal stability and instability for near-linear Hamiltonians ⋮ Generic Nekhoroshev theory without small divisors ⋮ Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians ⋮ Arnol′d Diffusion in a Pendulum Lattice ⋮ Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component ⋮ A Nekhoroshev type theorem for the nonlinear wave equation in Gevrey space ⋮ A note on micro-instability for Hamiltonian systems close to integrable ⋮ Analytic smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians

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