Periodic solutions of prescribed energy for a class of symmetric singular dynamical systems

DOI10.1007/BF02582037zbMath0815.58019OpenAlexW66870923MaRDI QIDQ4323170

Daxin Zhu

Publication date: 30 June 1995

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02582037

zbMATH Keywords

periodic solutionsprescribed energysymmetric Hamiltonian systems

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Unnamed Item
• Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials
• Periodic solutions for N-body type problems
• Bifurcation of periodic solutions for Keplerian problems
• Closed orbits of fixed energy for singular Hamiltonian systems
• A geometric approach to a result of Benci and Giannoni for Hamiltonian systems with singular potentials
• Multiple closed orbits for perturbed Keplerian problems
• Addendum to: Closed orbits of fixed energy for a class of N-body problems
• Closed geodesics on non-compact Riemannian manifolds
• Conservative Dynamical Systems Involving Strong Forces

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