一类多分子反应模型的全局结构相图  

Global Structure Phase Map for Class Polymolecular Reaction System

作　　者：李向阳[1] 

机构地区：[1]四川大学数学学院,四川成都610064

出　　处：《内江师范学院学报》2012年第2期11-14,共4页Journal of Neijiang Normal University

摘　　要：对一类多分子反应系统进行了完备的全局分析.首先通过寻找该系统的分界线的存在,判定了该系统的闭轨的不存在性.其次,讨论了系统其中的一个奇点只可能是结点.证明了轨道在一象限的走向与p,q的取值无关.最终,通过对有限远奇点,无限远奇点,分界线和闭轨不存在性这四部分的讨论,给出了这类系统的全局结构相图.A full-order global analysis is made to class 1 polymolecular reaction system.Firstly,the non-existence of a closed orbit is decided on by means of finding the boundary lines of the system.Secondly,although lots of qualitative analysis has been made about finite and infinite singular point,a still more accurate discussion is done and brings about a conclusion that one of the singular point cannot but be a crunode;also proved is that,of the infinite singular points,the strike direction of the orbit in the first quadrant is irrelevant to the value of p andq.Lastly,based on the above discussion,the global phase map is put forth for the said system.

关 键 词：退化 平衡点 无穷远奇点 闭轨 分界线 全局结构 

分 类 号：O175[理学—数学] O193[理学—基础数学]