<i>N</i>-Expansive Property for Flows

• 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: Expansive FLOW N-Expansive SHADOWING
• 年，卷（期）: 2019,（2）
• 页码范围: 410-417
• 页数: 8页
• 分类号: O1

摘要

In this paper, we discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact metric spaces in continuous case. For every n∈N, we exhibit an n-expansive homeomorphism but not (n-1)-expansive. Furthermore, that flow has the shadowing property and admits an infinite number of chain-recurrent classes.