English

Dynamical Systems and Topological Surgery

Dynamical Systems 2008-12-15 v1 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.0812.2367,
  title  = {Dynamical Systems and Topological Surgery},
  author = {S. Antoniou and S. Lambropoulou},
  journal= {arXiv preprint arXiv:0812.2367},
  year   = {2008}
}

Comments

16 pages, 14 figures

R2 v1 2026-06-21T11:51:20.700Z