On the Topological Entropy of Nonautonomous Differential Equations  

作　　者：Le Huy Tien Le Duc Nhien 

机构地区：[1]Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, Hanoi, Vietnam

出　　处：《Journal of Applied Mathematics and Physics》2019年第2期418-429,共12页应用数学与应用物理（英文）

摘　　要：The purpose of this paper is to extend the concept topological entropy to nonautonomous linear systems. Next, we shall give estimation of the topological entropy for the class of bounded linear equations on Rn. Finally, we are about to investigate the invariant properties of one through the transformations such as topological conjugacy, topological equivalence and kinematically similar and then show that topological entropy of one is equal to sum of positive Lyapunov characteristic exponents.The purpose of this paper is to extend the concept topological entropy to nonautonomous linear systems. Next, we shall give estimation of the topological entropy for the class of bounded linear equations on Rn. Finally, we are about to investigate the invariant properties of one through the transformations such as topological conjugacy, topological equivalence and kinematically similar and then show that topological entropy of one is equal to sum of positive Lyapunov characteristic exponents.

关 键 词：Kinematically Similar TOPOLOGICAL CONJUGACY LINEAR DYNAMIC EQUATION TOPOLOGICAL ENTROPY 

分 类 号：O1[理学—数学]