2008/12/12 by Stathis Antoniou, S. Antoniou, Sofia Lambropoulou +3
Arts and Humanities · Mathematics · Neuroscience · #37 #57 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #History of Medicine Studies #Neurology and Historical Studies #math.DS #math.GT #msc:37 #msc:57
paper · pdf · doi:10.48550/arxiv.0812.2367
16 pages, 14 figures
arxiv created 2008/12/12 · openalex publication_date 2008/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we try to establish a connection between a three-dimensional Lotka--Volterra dynamical system and two-dimensional topological surgery. There are many physical phenomena exhibiting two-dimensional topological surgery through a `hole drilling' process. By our connection, such phenomena may be modelled mathematically by the above dynamical system.