Linear stability of some symplectic matrices

DOI10.1007/s11464-010-0008-6zbMath1200.37049OpenAlexW1978521649MaRDI QIDQ977669

Gao Sheng Zhu, Long, Yiming

Publication date: 23 June 2010

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-010-0008-6

zbMATH Keywords

linear stabilityhomotopysymplectic matrix

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (3)

Linear stability of the criss-cross orbit in the equal-mass three-body problem ⋮ Linear stability of elliptic relative equilibria of restricted four-body problem ⋮ Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory

Cites Work

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• Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem
• Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
• Bott formula of the Maslov-type index theory
• Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics
• Index theory for symplectic paths with applications

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