Positive-Entropy Integrable Systems and the Toda Lattice, II
Exactly Solvable and Integrable Systems
2015-05-13 v2 Chaotic Dynamics
Abstract
This note constructs completely integrable convex Hamiltonians on the cotangent bundle of certain k-dimensional torus bundles over an l-dimensional torus. A central role is played by the Lax representation of a Bogoyavlenskij-Toda lattice. The classification of these systems, up to iso-energetic topological conjugacy, is related to the classification of abelian groups of Anosov toral automorphisms by their topological entropy function.
Cite
@article{arxiv.0906.1762,
title = {Positive-Entropy Integrable Systems and the Toda Lattice, II},
author = {Leo T. Butler},
journal= {arXiv preprint arXiv:0906.1762},
year = {2015}
}
Comments
46 pages, 9 tables, 3 figures. To appear in Math. Proc. Camb. Phi. Soc