发表机构
Fachbereich Mathematik, Johann Wolfgang Goethe Universität(法兰克福歌德大学数学系)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
研究托马斯正电路猜想在平面系统中的情况,运用动态系统工具和平面分析,找出猜想对平面系统成立的条件。
AI 中文摘要
电路概念指动态系统元素间的循环定向影响,有正、负两类电路。R.托马斯推测多稳态的必要条件是存在正电路。本文利用动态系统工具和平面分析,找出该猜想对平面系统成立的条件。
英文摘要
The notion of circuit refers to a cyclic oriented influence between the elements of a dynamical system. There are two classes of circuit: positive and negative. R. Thomas conjectured that a necessary condition of multi stationarity is the existence of positive circuits. In this paper we use dynamical system tools and planar analysis to find conditions for which the conjecture holds for planar systems.