Optical Hamiltonians and symplectic twist maps
✍ Scribed by Christophe Golé
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 713 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0167-2789
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📜 SIMILAR VOLUMES
The symplectic map F(z) = R,~z + ef(x)(-sin o:, cos ol), where R~ is a rotation, produces a periodic tiling of the phase-plane for some values of a ~ if f is a periodic function. Due to the periodicity of the map, the chaotic regions of the hyperbolic fixed points of the appropriate iterate of F are
## 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
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.