Stability of motions near resonances in quasi-integrable Hamiltonian systems
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Publication:1098339
DOI10.1007/BF01011301zbMath0636.70018OpenAlexW2158200094MaRDI QIDQ1098339
Giancarlo Benettin, Giovanni Gallavotti
Publication date: 1986
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01011301
energy conservationKAM theoryconfinement of orbits in resonant regionsnonisochronous systemsquasi-integrable Hamiltonian systemsstability of motionsweakly perturbed harmonic oscillators
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) Nonlinear resonances for nonlinear problems in mechanics (70K30) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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