Long-term stability analysis of quasi-integrable degenerate systems through the spectral formulation of the Nekhoroshev theorem

DOI10.1023/A:1020176307372zbMath1030.70009OpenAlexW4249817331MaRDI QIDQ1871121

Massimilliano Guzzo

Publication date: 6 May 2003

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020176307372

zbMATH Keywords

two-body problemlong-term stabilityFourier spectrumchaotic solutionsNekhoroshev's theoremdegenerate quasi-integrable Hamiltonian system

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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