A periodic problem in the calculus of variations and deformations of Hamiltonian systems

DOI10.1090/TRANS2/125/02zbMath0569.49018OpenAlexW4256336473MaRDI QIDQ3685568

V. S. Bondarchuk

Publication date: 1985

Published in: Seven Papers in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/125/02

zbMATH Keywords

Hamiltonian systemssubmanifoldscalculus of variationsEuler-Lagrange equationextremality property of a trajectoryindex of Morseunstability property

Mathematics Subject Classification ID

Hamilton's equations (70H05) 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) Lagrange's equations (70H03) Hamilton-Jacobi theories (49L99)

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