Feigenbaum刚性和界于简单与混沌之间的动力系统(英文)  

Feigenbaum's Rigidities and Dynamical Systems Between Simple and Chaotic

作　　者：胡骏 

出　　处：《数学进展》1998年第5期385-402,共18页Advances in Mathematics（China）

摘　　要：本文主要综述了关于一类光滑动力系统族周期倍分支现象中通有比例规则的最新研究进展，而这一规则是由Ｆｅｉｇｅｎｂａｕｍ在美国，Ｃｏｕｌｅｔ与Ｔｒｅｓｓｅｒ在法国分别独立发现的．文中还阐述了一类界于简单与混沌之间的动力系统的几何性质．In this survey it is given a brief account of recent research achievements in the conceptual understanding of the universal scaling rules discovered by Feigenbaum in USA, independently by Coullet and Tresser in France, in the period-doubling bifurcations in certain families of smooth dynamical systems. And geometric properties of dynamical systems between simple and chaotic onesare also included. Some open problems are reported at the end.

关 键 词：重整化 拓扑熵 动力系统 Feigenbaum刚性 浑沌 

分 类 号：O175.1[理学—数学]