全局拓扑线性化理论的推广

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	全局拓扑线性化理论的推广
	陈超 ; 林发兴
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxnz200506012&dbcode=CJFQ&dbname=CJFQ2005
	2012-06-05 ; 2012-06-05
关键词	拓扑等价全局线性化 Lipschitz条件 Topological equivalence Global linearization Lipschitz condition O189.1
其他题名	A GENERALIZATION OF GLOBAL TOPOLOGICAL LINEARIZATION THEOREM
中文摘要	微分方程dx/dt=Ax +f(x)(其中A的特征根实部异于零)拓扑线性化的经典结论是由Hartman与 Grobman给出的,但是他们的结论都是局部拓扑线性化,即要求同胚函数限制在原点的小邻域内．如果要延伸到全局上的话,必须f(x)有界．本文研究了系统(1．3),证明当此系统满足适当的条件时可全局线性化．; The classical conclusions of topological linearization of the differential equation dx/dt= Ax +f(x) (none of the eigenvalues of A has zero real part) are given by Hartman and Grobman. But, their conclusion are only limited to the small neighborhood of origin. If the system can be globally linearizied, then f(x) must be bounded. In this paper, we consider the system (2.1), point out that the system can be topological linearlized under some conditions. Then, we can obtain more general conclusion.; 【作者单位】集美大学理学院；福州大学数学与计算机科学学院福建厦门 361021；福州 350002；【作者英文名】CHEN Chao LIN Faxing School of Sciences, Jimei University, Xiamen 361021, Fujian, China. School of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China.
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/16144]
专题	集美大学
推荐引用方式 GB/T 7714	陈超,林发兴. 全局拓扑线性化理论的推广[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxnz200506012&dbcode=CJFQ&dbname=CJFQ2005,2012, 2012.
APA	陈超,&林发兴.(2012).全局拓扑线性化理论的推广.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxnz200506012&dbcode=CJFQ&dbname=CJFQ2005.
MLA	陈超,et al."全局拓扑线性化理论的推广".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxnz200506012&dbcode=CJFQ&dbname=CJFQ2005 (2012).