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arXiv · 0906.1762

Positive-Entropy Integrable Systems and the Toda Lattice, II

Leo T. Butler
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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.

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Leo T. Butler. 2010-07-15. Positive-Entropy Integrable Systems and the Toda Lattice, II. https://doi.org/10.1017/s0305004110000356

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