线性系统的极限跟踪性  

Limit Shadowing Property of Linear Systems

作　　者：朱玉峻[1] 何连法[1] 

机构地区：[1]河北师范大学数学与信息科学学院,石家庄050016

出　　处：《数学物理学报（A辑）》2007年第2期314-321,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(10371030);数学天元基金(10426012);河北师范大学博士基金(L2003B05)资助

摘　　要：给出了R^n上的线性同构和线性流具有极限跟踪性的特征:线性同构具有极限跟踪性当且仅当其对应的矩阵为双曲的;线性流具有极限跟踪性当且仅当其对应矩阵的所有特征根均具有非零实部．In this paper, the authors give the characterization of both linear automorphisms and linear flows on R^n with the limit shadowing property. That is, an automorphism defined by a matrix has the limit shadowing property if and only if this matrix is hyperbolic, and a linear flow induced by a matrix has the limit shadowing property if and only if all eigenvalues of this matrix have nonzero real parts.

关 键 词：极限跟踪性 线性同构 线性流 双曲 

分 类 号：O193[理学—数学]