N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem

DOI10.1137/S0036141004443646zbMath1096.70005MaRDI QIDQ5470611

Enrico Valdinoci, Luca Biasco, Luigi Chierchia

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

existencequasi-periodic orbitsnearly integrable Hamiltonian systems

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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