Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system

DOI10.1088/0951-7715/11/6/002zbMath0917.58015OpenAlexW2126424559MaRDI QIDQ4223732

Laurent Niederman

Publication date: 11 March 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/11/6/002

zbMATH Keywords

stabilitydiophantine conditionlinear spectrumelliptic lower-dimensional invariant torusexponentially long times

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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