On the Topological Entropy of Nonautonomous Differential Equations
On the Topological Entropy of Nonautonomous Differential Equations作者机构:Department of Mathematics Mechanics and Informatics Vietnam National University at Hanoi Hanoi Vietnam
出 版 物:《Journal of Applied Mathematics and Physics》 (应用数学与应用物理(英文))
年 卷 期:2019年第7卷第2期
页 面:418-429页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Kinematically Similar Topological Conjugacy Linear Dynamic Equation Topological Entropy
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.