Krein's formula for indefinite multipliers in linear periodic Hamiltonian systems

DOI10.1016/J.JDE.2006.08.005zbMath1107.37044OpenAlexW2019577744MaRDI QIDQ860742

Eiji Yanagida, Masataka Kuwamura

Publication date: 9 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.08.005

zbMATH Keywords

stability under perturbationscritical multipliersKrein formulaperiodic Hamiltonian systems

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) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (4)

Second order asymptotics for Krein indefinite multipliers with multiplicity two ⋮ The dichotomy theorem for evolution bi-families ⋮ On bifurcation of eigenvalues along convex symplectic paths ⋮ Deviation from the predicted wave number in a mode selection problem for the Turing patterns

Cites Work

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• New aspects in the theory of stability of Hamiltonian systems
• Stability of periodic solutions near a collision of eigenvalues of opposite signature
• On the Turing Patterns in One-Dimensional Gradient/Skew-Gradient Dissipative Systems
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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