2009/06/30 by Léo T. Butler, Leo T. Butler
Mathematics · Physics and Astronomy · #Abelian group #Advanced Algebra and Geometry #Automorphism #Conjugacy class #Cotangent bundle #Geometry #Geometry and complex manifolds #Integrable system #Lattice (music) #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Toda lattice #Topological entropy #Trigonometric functions #nlin.CD #nlin.SI
paper · pdf · doi:10.1017/s0305004110000356
46 pages, 9 tables, 3 figures. To appear in Math. Proc. Camb. Phi. Soc
arxiv created 2010/07/15 · openalex publication_date 2010/07/19 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.