Multiple homoclinic orbits for autonomous, singular potentials
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Publication:4312033
DOI10.1017/S0308210500028651zbMath0812.58088MaRDI QIDQ4312033
Publication date: 3 November 1994
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Hamilton's equations (70H05) Variational problems in a geometric measure-theoretic setting (49Q20) Boundary value problems on manifolds (58J32)
Related Items
Homoclinic solutions for a second-order singular differential equation ⋮ Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems ⋮ Multiple homoclinics for a class of singular Hamiltonian systems ⋮ Critical points and nonlinear variational problems ⋮ Multiple homoclinic solutions for a class of autonomous singular systems in \(\mathbb{R}^2\) ⋮ Homoclinic solutions for singular Hamiltonian systems without the strong force condition ⋮ Existence of homoclinic orbits for a singular differential equation involving \(p\)-Laplacian ⋮ Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems ⋮ Multiplicity of homoclinic solutions for singular second-order conservative systems ⋮ Homoclinic solutions for a class of second order nonautonomous singular Hamiltonian systems ⋮ On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity ⋮ Homoclinic Solutions for a Class of Hamiltonian Systems ⋮ Symmetrically homoclinic orbits for symmetric Hamiltonian systems
Cites Work
- Homoclinic orbits for a singular second order Hamiltonian system
- A variational approach to homoclinic orbits in Hamiltonian systems
- Homotopy theory of infinite dimensional manifolds
- THE TOPOLOGY OF FUNCTIONAL MANIFOLDS AND THE CALCULUS OF VARIATIONS IN THE LARGE
- Homoclinic orbits for a class of Hamiltonian systems
