On the topological entropy of an optical Hamiltonian flow

Details On the topological entropy of an optical Hamiltonian flow On the topological entropy of an optical Hamiltonian flow

2000-10-05

arxiv.org/abs/math/0010058v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

10.1088/0951-7715/14/4/309

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.

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