论文标题
偏斜与对称的Lotka-Volterra系统的形态和自动形态
Morphisms and automorphisms of skew-symmetric Lotka-Volterra systems
论文作者
论文摘要
我们在物体和形态的层面上研究了偏度对称的Lotka-Volterra系统和图形之间的基本关系，并以图形以及不可修复的加权图来从偏斜 - 对称的Lotka-volterra系统中得出分类。我们还获得了对它们的自动形态群体以及这些群体之间存在的关系的描述。引入和使用的中央概念是图形和Lotka-Volterra系统的解释。我们还对获得的结果进行了函数解释。
We study the basic relation between skew-symmetric Lotka-Volterra systems and graphs, both at the level of objects and morphisms, and derive a classification from it of skew-symmetric Lotka-Volterra systems in terms of graphs as well as in terms of irreducible weighted graphs. We also obtain a description of their automorphism groups and of the relations which exist between these groups. The central notion introduced and used is that of decloning of graphs and of Lotka-Volterra systems. We also give a functorial interpretation of the results which we obtain.
