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Periodic orbits of Hamiltonian systems on symmetric positive-type hypersurfaces

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Publication:1876710
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DOI10.1016/j.jmaa.2004.03.020zbMath1046.37038OpenAlexW2016830995MaRDI QIDQ1876710

Tianqing An

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.020


zbMATH Keywords

Hamiltonian systemPositive-type hypersurfaceSymmetric periodic orbit


Mathematics Subject Classification ID


Related Items (2)

Periodic solutions of superlinear autonomous Hamiltonian systems with prescribed period ⋮ Non-existence of positive solutions of some elliptic equations in positive-type domains



Cites Work

  • Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\)
  • The compact category and multiple periodic solutions of Hamiltonian systems on symmetric starshaped energy surfaces
  • Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
  • An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems
  • Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces


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