Dynamical Systems and Topological Surgery

Details Dynamical Systems and Topological Surgery Dynamical Systems and Topological Surgery

2008-12-12

arxiv.org/abs/0812.2367v1

Mathematics

Dynamical Systems

16 pages, 14 figures

Scientific paper

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.

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