On the topological entropy of an optical Hamiltonian flow
Dynamical Systems
2009-10-31 v1 Differential Geometry
Symplectic Geometry
Abstract
In this article we prove two formulas for the topological entropy of an F-optical Hamiltonian flow induced by a C^{\infty} Hamiltonian, where F is a Lagrangian distribution. In these formulas, we calculate the topological entropy as the exponential growth rate of the average of the determinant of the differential of the flow, restricted to the Lagrangian distribution or to a proper modification.
Keywords
Cite
@article{arxiv.math/0010058,
title = {On the topological entropy of an optical Hamiltonian flow},
author = {Cesar J. Niche},
journal= {arXiv preprint arXiv:math/0010058},
year = {2009}
}
Comments
14 pages