Symplectic integration of nonlinear Hamiltonian systems
β Scribed by Govindan Rangarajan
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 672 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0304-4289
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π SIMILAR VOLUMES
Recent work reported in the literature suggests that for the long-time integration of Hamiltonian dynamical systems one should use methods that preserve the symplectic (or canonical) structure of the flow. Here we investigate the symplecticness of numerical integrators for constrained dynamics, such
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