Stability of elliptic fixed points of analytic area-preserving mappings under the Bruno condition

DOI10.1017/S0143385702000974zbMath1030.37040OpenAlexW2157222834MaRDI QIDQ4800187

Helmut Rüssmann

Publication date: 9 February 2004

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

Full work available at URL: https://doi.org/10.1017/s0143385702000974

zbMATH Keywords

linearizationBirkhoff normal formBrjuno conditionKAM method

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) 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)

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