Invariant tori of Hamiltonian systems that are nondegenerate in Rüssmann's sense

zbMath0973.37035MaRDI QIDQ1374999

Mikhail B. Sevryuk

Publication date: 4 May 1999

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

zbMATH Keywords

Hamiltonian systemsinvariant tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (6)

Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann's nondegeneracy condition ⋮ Partial preservation of frequencies and Floquet exponents in KAM theory ⋮ On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann's non-degeneracy condition ⋮ The approximate decomposition of exponential order of slow-fast motions in multifrequency systems. ⋮ Persistence of lower-dimensional hyperbolic invariant tori for generalized Hamiltonian systems ⋮ Persistence of hyperbolic invariant tori for Hamiltonian systems

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