Generic super-exponential stability of elliptic equilibrium positions for symplectic vector fields

DOI10.1134/S1560354713060117zbMath1320.70015arXiv1210.7855MaRDI QIDQ2449298

Laurent Niederman

Publication date: 7 May 2014

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7855

zbMATH Keywords

Hamiltonian systemseffective stabilityperturbation of integrable systems

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) 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) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items

Super-exponential stability for generic real-analytic elliptic equilibrium points

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