Morse theory for conditionally-periodic solutions to Hamiltonian systems

DOI10.1007/BF02104825zbMath0859.58024OpenAlexW2088562753MaRDI QIDQ1920780

P. I. Plotnikov

Publication date: 7 April 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104825

zbMATH Keywords

perturbationsHamiltonian systemsKAM theoryinvariant torilocal Morse theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (1)

Kolmogorov's theorem for low-dimensional invariant tori of Hamiltonian systems

Cites Work

• Continuation to the minimal number of critical points in gradient flows
• Generalized implicit function theorems with applications to some small divisor problems, I
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