2018/10/31 by Takafumi Mase, Ralph Willox, Alfred Ramani +1 · 13 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Essential singularity #Gravitational singularity #Isolated singularity #Nonlinear Waves and Solitons #Point (geometry) #Property (philosophy) #Quantum chaos and dynamical systems #Singularity #Singularity theory #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/1751-8121/ab1433
published in Journal of Physics A Mathematical and Theoretical 52(20), 205201 (Institute of Physics) · 24 pages, 2 figures
openalex created_date 2018/10/12 · arxiv created 2019/03/25 · openalex publication_date 2019/03/28 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/05
Abstract In this paper we present a rigorous method for deciding whether a birational three point mapping that has the singularity confinement property is integrable or not, based only on the structure of its (confined) singularity patterns. We also explain how the exact value of the dynamical degree for such a mapping may be deduced from the singularity patterns.