Symplectic Transformations and Periodic Solutions of Hamiltonian Systems
β Scribed by Mei-Yue Jiang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 150 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Symplectic transformations with a kind of homogeneity are introduced, which enable us to give a unified approach to some existence problems on the periodic solutions for the first-and second-order Hamiltonian systems.
π SIMILAR VOLUMES
This paper is concerned with the symplectic structure of discrete nonlinear Hamiltonian systems. The results are related to an open problem that was first proposed by C. D. Ahlbrandt [J. Math. Anal. Appl. 180 (1993), 498-517] discussed elsewhere in the literature. But we give a different statement a
## Abstract In this paper we study a generalized symplectic fixedβpoint problem, first considered by J. Moser in [20], from the point of view of some relatively recently discovered symplectic rigidity phenomena. This problem has interesting applications concerning global perturbations of Hamiltonia