Optical Hamiltonians and Symplectic Twist Maps

Authors

Christophe Golé, Smith CollegeFollow

Document Type

Article

Publication Date

2-1-1994

Publication Title

Physica D: Nonlinear Phenomena

Abstract

This paper concentrates on optical Hamiltonian systems of T*Tn, i.e., those for which Hpp is a positive definite matrix, and their relationship with symplectic twist maps. We present theorems of decomposition by symplectic twist maps and existence of periodic orbits for these systems. The novelty of these results resides in the fact that no explicit asymptotic condition is imposed on the system.

Volume

71

Issue

1-2

First Page

185

Last Page

195

DOI

10.1016/0167-2789(94)90189-9

ISSN

01672789

Rights

© 1994

Comments

Author’s submitted manuscript.

Recommended Citation

Golé, Christophe, "Optical Hamiltonians and Symplectic Twist Maps" (1994). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/83