Morse index and deformations of Hamiltonian systems

DOI10.1007/BF01066550zbMath0557.58009MaRDI QIDQ761683

V. S. Bondarchuk

Publication date: 1984

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

zbMATH Keywords

variational calculusperiodic problemJacobi equationsinstability domain

Mathematics Subject Classification ID

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)

Cites Work

• The relationship between the index of a strongly stable periodic linear Hamiltonian vectorfield and the index of its stability domain
• Riemannian manifolds with geodesic flow of Anosov type
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