The Abundance of Strange Attractor in the Families of Nearby Singular Diffeomorphism

作     者：Cao Yongluo (Department of Mathematics,Suzhou University,Suzhou 215006,China) 

作者机构：苏州大学数学系 江苏 苏州 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1997年第13卷第1期

页      面：90-96页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project Supported by Fund of National Science of China 

主　　题：Transversal homoclinic point Strange attractor The families of nearby singular dif- 

摘      要：In this paper,we consider the families of nearby singular diffeomorphism and the measure of a set in the parameter space,such that for each point of the set the corresponding diffeomorphism possesses strange *** some families of one-dimensional mapping satisfying certain transversality condition,we prove that there is a positive measure set in the parameter space, such that the system in the corresponding families of nearly singular diffeomorphism has strange ***,we study the dynamics of this type of strange attractor.