The dynamical properties of a singularly perturbed Hamiltonian system near its slow manifolds

zbMath1151.37322MaRDI QIDQ859356

Vassili Gelfreich, Lev M. Lerman

Publication date: 12 January 2007

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

KAM theoryinvariant manifoldslow and fast manifold

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Singular perturbations for ordinary differential equations (34E15) Nearly integrable Hamiltonian systems, KAM theory (70H08)