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Positive-entropy integrable systems and the Toda lattice, II
Published online by Cambridge University Press: 19 July 2010
Abstract
This paper constructs completely integrable convex Hamiltonians on the cotangent bundle of certain k bundles over
l. 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 149 , Issue 3 , November 2010 , pp. 491 - 538
- Copyright
- Copyright © Cambridge Philosophical Society 2010
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