A Note on Generalized Solutions of Singular Hamiltonian Systems
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Publication:4311402
DOI10.2307/2160872zbMath0812.58038OpenAlexW4253632161MaRDI QIDQ4311402
Publication date: 23 April 1995
Full work available at URL: https://doi.org/10.2307/2160872
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (15)
Existence of periodic solutions of a Liénard equation with a singularity of repulsive type ⋮ A new result on the existence of periodic solutions for Rayleigh equations with a singularity of repulsive type ⋮ Parabolic solutions for the planar \(N\)-centre problem: multiplicity and scattering ⋮ Periodic solutions of second order non-autonomous singular dynamical systems ⋮ Homoclinic solutions for singular Hamiltonian systems without the strong force condition ⋮ Positive periodic solutions of singular systems with a parameter ⋮ A new result on the existence of periodic solutions for Rayleigh equation with a singularity ⋮ Non-collision periodic solutions of second order singular dynamical systems ⋮ Scattering parabolic solutions for the spatial \(N\)-centre problem ⋮ A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type ⋮ Application of Morse index in weak forceN-body problem ⋮ Periodic solutions of second order superlinear singular dynamical systems ⋮ Periodic solutions to a forced Kepler problem in the plane ⋮ The spatial \(N\)-centre problem: scattering at positive energies ⋮ Variational proof of the existence of the super-eight orbit in the four-body problem
Cites Work
- Periodic solutions for a class of planar, singular dynamical systems
- Étude des solutions généralisées pour un système hamiltonien avec potentiel singulier. (Study of generalized solutions for a Hamiltonian system with singular potential)
- Collision and non-collision solutions for a class of Keplerian-like dynamical systems
- A note on periodic solutions of prescribed energy for singular Hamiltonian systems
- A minimax method for a class of Hamiltonian systems with singular potentials
- Non-collision solutions for a second order singular Hamiltonian system with weak force
- A prescribed energy problem for a singular Hamiltonian system with a weak force
- Noncollision solutions to some singular minimization problems with Keplerian-like potentials
- Multiple brake orbits for some classes of singular Hamiltonian systems
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