On ``Arnold's theorem on the stability of the solar system

DOI10.3934/dcds.2013.33.3555zbMath1316.37035OpenAlexW2058053974MaRDI QIDQ379515

Jacques Féjoz

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.3555

zbMATH Keywords

stabilityquasi-periodic motions\(n\)-body problemsolar systemKAM theoryHamiltonian systemcelestial mechanicsArnold's theorem

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) 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) Diophantine approximation in probabilistic number theory (11K60) Nearly integrable Hamiltonian systems, KAM theory (70H08) Implicit function theorems; global Newton methods on manifolds (58C15) Normal forms for nonlinear problems in mechanics (70K45) Monotone flows as dynamical systems (37C65)

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