Versal normal form at the Lagrange equilibrium \(L_ 4\)

DOI10.1016/0022-0396(86)90080-XzbMath0614.70005OpenAlexW2073847298MaRDI QIDQ1819954

Al. Kelley, Richard H. Cushman, Hueseyin Kocak

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90080-x

zbMATH Keywords

periodic orbitsnormal formTaylor expansionequilibria of Hamiltonian systemslinearized Hamiltonian vector fieldmethod of Lie seriesnormalization of the quadratic partorder by order transformationplanar restricted problem of three bodiesRouth's critical ratiosymplectic conjugacyversal transformation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Three-body problems (70F07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Versal normal form of the Hamiltonian function of the restricted problem of three bodies near \({\mathcal L}_ 4\) ⋮ Versal normal form for nonsemisimple singularities ⋮ Reeb's theorem and periodic orbits for a rotating Hénon-Heiles potential ⋮ Transformation to versal deformations of matrices

Cites Work

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• ON MATRICES DEPENDING ON PARAMETERS