A note on topology of isoenergy manifold of \(n\)-degree natural Hamiltonian systems and existence of global Poincaré section

DOI10.1016/S0960-0779(03)00095-XzbMath1069.37042OpenAlexW1976673269MaRDI QIDQ1433839

Xiao-Song Yang

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00095-x

Mathematics Subject Classification ID

Hamilton's equations (70H05) Topological and differential topological methods for problems in mechanics (70G40)

Cites Work

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• A remark on global Poincaré section and suspension manifold
• Topology and mechanics. I
• Topology of energy surfaces and existence of transversal Poincaré sections