Periodic solutions with prescribed energy for singular conservative systems involving strong forces

DOI10.1016/0362-546X(93)90107-4zbMath0801.70012OpenAlexW2044121174MaRDI QIDQ4274524

Lorenzo Pisani

Publication date: 24 November 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90107-4

zbMATH Keywords

existence

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (11)

Nonconstant periodic solutions with any fixed energy for singular Hamiltonian systems ⋮ The fixed energy problem for a class of nonconvex singular Hamiltonian systems ⋮ A Maupertuis-type principle in relativistic mechanics and applications ⋮ New periodic solutions for a class of singular Hamiltonian systems ⋮ Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system ⋮ New periodic solutions for the singular Hamiltonian system ⋮ Topologically distinct collision-free periodic solutions for the \({N}\)-center problem ⋮ Periodic solutions of singular Hamiltonian systems with prescribed energy ⋮ A prescribed-energy problem for a conservative singular Hamiltonian system ⋮ Infinitely many non-constant periodic solutions with negative fixed energy for Hamiltonian systems ⋮ New periodic solutions of singular Hamiltonian systems with fixed energies

Cites Work

• Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials
• Critical points with lack of compactness and singular dynamical systems
• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• Closed orbits of fixed energy for singular Hamiltonian systems
• Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
• Periodic solutions of Hamiltonian systems of 3-body type
• A Note on the Category of the Free Loop Space
• Critical points and nonlinear variational problems
• Conservative Dynamical Systems Involving Strong Forces
• Regularization of kepler's problem and the averaging method on a manifold
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