Positive-entropy integrable systems and the Toda lattice, II

LEO T. BUTLER
2010 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
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.
doi:10.1017/s0305004110000356 fatcat:fk2bv5o5yndc3p3qcgccatk5im