Hamiltonian stability and subanalytic geometry

DOI10.5802/aif.2200zbMath1120.14048OpenAlexW2316036458MaRDI QIDQ2372763

Laurent Niederman

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_3_795_0

zbMATH Keywords

Hamiltonian systemscurve selection lemmaLojasiewicz's inequalities

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local complex singularities (32S05) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (12)

Metric properties of semialgebraic mappings ⋮ Effective stability for slow time-dependent near-integrable Hamiltonians and application ⋮ Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ Optimal stability and instability for near-linear Hamiltonians ⋮ Nekhoroshev theorem for perturbations of the central motion ⋮ Generic Nekhoroshev theory without small divisors ⋮ Aspects of the planetary Birkhoff normal form ⋮ On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev ⋮ On steepness of 3-jet non-degenerate functions ⋮ An Overview on the Nekhoroshev Theorem ⋮ Sharp Nekhoroshev estimates for the three-body problem around periodic orbits ⋮ On the algebraic properties of exponentially stable integrable Hamiltonian systems

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