The relationship between the index of a strongly stable periodic linear Hamiltonian vectorfield and the index of its stability domain

DOI10.1215/S0012-7094-78-04532-5zbMath0403.58003OpenAlexW2009397511MaRDI QIDQ1256245

Richard H. Cushman

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-78-04532-5

zbMATH Keywords

Hamiltonian SystemIndex of the Stability DomainMorse Index

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75) Lagrange's equations (70H03)

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Morse index and deformations of Hamiltonian systems

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