On the Topological Entropy of Nonautonomous Differential Equations

• 作者: Le Duc Nhien Le Huy Tien
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Kinematically Similar TOPOLOGICAL CONJUGACY LINEAR DYNAMIC EQUATION TOPOLOGICAL ENTROPY
• 年，卷（期）: 2019,（2）
• 页码范围: 418-429
• 页数: 12页
• 分类号: O1

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.