Positive-entropy integrable systems and the Toda lattice, II

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