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Positive-entropy integrable systems and the Toda lattice, II

Published online by Cambridge University Press:  19 July 2010

LEO T. BUTLER
LEO T. BUTLER*
Affiliation:
School of Mathematics, The University of Edinburgh, 6214 James Clerk Maxwell Building, Edinburgh, EH9 3JZ, UK. e-mail: l.butler@ed.ac.uk
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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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