Second order asymptotics for Krein indefinite multipliers with multiplicity two

DOI10.1016/j.jde.2020.09.003zbMath1454.37053arXiv1903.12403OpenAlexW3087922840MaRDI QIDQ2208469

Jingzhi Yan, Yinshan Chang

Publication date: 3 November 2020

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

Full work available at URL: https://arxiv.org/abs/1903.12403

zbMATH Keywords

Floquet multipliersbifurcationsymplectic matrices

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Three-body problems (70F07) Two-body problems (70F05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Cites Work

• Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory
• Krein's formula for indefinite multipliers in linear periodic Hamiltonian systems
• On bifurcation of eigenvalues along convex symplectic paths
• Index theory for symplectic paths with applications
• Elliptic relative equilibria in the \(N\)-body problem
• Stability diagram for 4D linear periodic systems with applications to homographic solutions
• Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications
• New aspects in the theory of stability of Hamiltonian systems
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