复杂系统演化方程的重正化群解研究  

Research on Renormalization Group Solution of Complex Systems Evolutional Equation

作　　者：赖宝全[1] 邓贵仕[2] 

机构地区：[1]北京大学大连商品交易所博士后工作站,辽宁大连116023 [2]大连理工大学系统工程研究所,辽宁大连116024

出　　处：《数学的实践与认识》2009年第6期1-11,共11页Mathematics in Practice and Theory

基　　金：国家自然科学基金(70671016)

摘　　要：很多复杂系统本身具有长大倾向导致微观系统会表现出向宏观发展的趋势.而对于具有多层次多要素的复杂系统来说,重正化群是一种非常好的研究方法,就是对复杂系统演化方程的重正化群解研究.给出了衰减因子、激发因子和综合因子作用下的重正化群变换解,并以中国股票市场为例计算了以演化时间和投资者开户数增长率为自变量的股票市场重正化群函数.There are such a kind of tendency for complex systems to grow up that microsystems try to become to macro-systems. To these multi-hierarchies and hyper-amount elements complex systems, the renormalization group is a good research method. This article focus on the renormalization group solutions to evolutionary equations of complex systems. And the renormalization group solutions based on the fading factor, the factor, and the synthesis factor are discussed. Furthermore, the China stock market is a selected example to above and the renormalization group functions with the independent variables of separately evolution time and the increasing ratio of investors are calculated.

关 键 词：复杂系统 层次变换 重正化群解 变换因子 

分 类 号：N941.4[自然科学总论—系统科学]