2000/11/30 by Tomoyuki Takenawa · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic function #Algebraic number #Algebraic properties #Automorphism group #Entropy (arrow of time) #Homotopy and Cohomology in Algebraic Topology #Intersection (aeronautics) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Real algebraic geometry #Singularity #nlin.SI
paper · pdf · doi:10.1088/0305-4470/34/10/103
published as J. Phys. A: Math. Gen. 34 (2001) L95 · 9 pages, 1 figure, LaTeX file
openalex publication_date 2001/03/02 · arxiv created 2001/03/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A geometric approach to the equation found by Hietarinta and Viallet, which satisfies the singularity confinement criterion but exhibits chaotic behaviour, is presented. It is shown that this equation can be lifted to an automorphism of a certain rational surface and can therefore be considered to be the action of an extended Weyl group of indefinite type. A method to calculate its algebraic entropy by using the theory of intersection numbers is presented.