【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．更多还原

【Abstract】 In this paper, the authors give the characterization of both linear automorphisms and linear flows on Rn 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.更多还原