Normal form, Lie-Poisson structure and reduction for the Henon-Heiles system

DOI10.1007/BF00692289zbMath0882.70015OpenAlexW1625665353MaRDI QIDQ1358642

Stanisław P. Kasperczuk

Publication date: 5 March 1998

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00692289

zbMATH Keywords

coordinate representationsassociated Casimir function

Mathematics Subject Classification ID

Hamilton's equations (70H05) Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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• Reduction of the semisimple \(1:1\) resonance
• The Hamiltonian Hopf bifurcation
• Geometry of the bifurcations of the normalized reduced Henon–Heiles family
• Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies

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