We study the existence of periodic solutions of singular Hamiltonian systems as well as closed geodesics on non-compact Riemannian manifolds via variational methods. For Hamiltonian systems, we show the existence of a periodic solution of prescribed-energy problem:
โฆ LIBER โฆ
Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices
โ Scribed by Chjan C. Lim
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 1023 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0167-2789
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We study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian system The existence of a nontrivial periodic solution is obtained when โW is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when โW i