Change of independent variable t = 1/x motivates variable step size discretizations of even order differential operators. We develop variable change methods for discrete symplectic (i.e., J-orthogonal) systems. This enables us to perform simultaneous change of independent and dependent variables on
Trigonometric Transformations of Symplectic Difference Systems
✍ Scribed by Martin Bohner; Ondřej Došlý
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
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.
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 fixed‐point 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