Generalization of geometric Poincaré theorem for small perturbations

DOI10.1070/RD1998V003N02ABEH000070zbMath0959.37047MaRDI QIDQ1286791

E. A. Kudryavtseva

Publication date: 8 November 1999

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

perturbationMorse theoryHamiltonianpersistenceperiodic orbitfibrationfamily

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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