关于圆周微分同胚的结构稳定性的讨论  

Discussion about Circumference Diffeomorphic Structure Stability

作　　者：何昀昶[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《重庆工学院学报（自然科学版）》2008年第3期137-140,共4页Journal of Chongqing Institute of Technology

基　　金：重庆市教委科学研究项目(05JWSK054)

摘　　要：1969年,Shub曾证明了紧致微分流形M上的任意扩张自映射作为微分半动力系统是结构稳定的.在此结论的基础上,将其条件"任意扩张自映射"改为"任意压缩自映射"来研究圆周微分同胚的结构稳定性质,同样可以得到,将紧致微分流形M上的任意压缩自映射作为微分半动力系统也是结构稳定的.In 1969, had proven that the arbitrarily augmentation onto mapping as the differentiable semi-dy-namic system on the compact differential manifold about is structurally stable. Based on this conclusion,this paper switches over“the arbitratily augmentation onto mapping”to “the arbitrarily contraction mapping” to study the structurally stable character about the circumference diffeomorphism. The conclusion can also be drawn that the arbitrarily contraction mapping as the differentiable semi-dynamic system on the compact differential manifold about is structuraUy stable.

关 键 词：压缩映射 结构稳定 稠密 同胚 拓扑共轭 反向同胚 

分 类 号：O18[理学—数学]