Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials

DOI10.1016/0022-0396(89)90167-8zbMath0689.34034OpenAlexW2017520560MaRDI QIDQ581724

Vieri Benci, Fabio Giannoni

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90167-8

zbMATH Keywords

Hamiltonian systemperiodic solutions of prescribed energy

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items

A note on periodic solutions of prescribed energy for singular Hamiltonian systems ⋮ On a class of dynamical systems with singular potential ⋮ Periodic solutions with prescribed energy for singular conservative systems involving strong forces ⋮ The fixed energy problem for a class of nonconvex singular Hamiltonian systems ⋮ Critical points and nonlinear variational problems ⋮ The variational minimization solutions of 3-body problems with 2 fixed centers ⋮ Periodic solutions of prescribed energy for a class of symmetric singular dynamical systems ⋮ Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system ⋮ New periodic solutions for the singular Hamiltonian system ⋮ Closed orbits of fixed energy for singular Hamiltonian systems ⋮ Multiple closed orbits for singular conservative systems via geodesic theory ⋮ A geometric approach to a result of Benci and Giannoni for Hamiltonian systems with singular potentials ⋮ Multiple closed orbits for perturbed Keplerian problems ⋮ Topologically distinct collision-free periodic solutions for the \({N}\)-center problem ⋮ New periodic solutions for a class of singular Hamiltonian systems ⋮ Multiplicity of periodic solution with prescribed energy to singular dynamical systems ⋮ A prescribed-energy problem for a conservative singular Hamiltonian system ⋮ Infinitely many non-constant periodic solutions with negative fixed energy for Hamiltonian systems ⋮ Periodic solutions to some \(N\)-body type problems: The fixed energy case ⋮ Action minimizing orbits in the 2+2- and 3+2-body problems with 2 fixed centers ⋮ New periodic solutions of singular Hamiltonian systems with fixed energies

Cites Work

• Critical points with lack of compactness and singular dynamical systems
• Perturbation of Hamiltonian systems with Keplerian potentials
• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• Non-collision orbits for a class of Keplerian-like potentials
• Normal modes of a Lagrangian system constrained in a potential well
• Periodic solutions of a class of singular Hamiltonian systems
• Lagrangian Systems in the Presence of Singularities
• Conservative Dynamical Systems Involving Strong Forces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item