Scholarlink

<p>We establish the classical Auslander–Yorke dichotomy and its variants for non-autonomous discrete dynamical systems generated by uniformly convergent sequences of continuous maps. For such systems, sensitivity, equicontinuity, and their variants are shown to be equivalent to the corresponding properties of the associated limit autonomous system. We further obtain a mean version of the Auslander–Yorke dichotomy for uniformly convergent and periodic non-autonomous systems, and show that, in the periodic case, the mean dynamical properties coincide with those of the associated autonomous system.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Mean Equicontinuity and Mean Sensitivity for Non-Autonomous Dynamical Systems

  • 期刊论文

  • 发表日期：

    2026年4月9日

查看全文
  • Saksham Malik,
  • Mohammad Salman,
  • Ruchi Das

摘要

We establish the classical Auslander–Yorke dichotomy and its variants for non-autonomous discrete dynamical systems generated by uniformly convergent sequences of continuous maps. For such systems, sensitivity, equicontinuity, and their variants are shown to be equivalent to the corresponding properties of the associated limit autonomous system. We further obtain a mean version of the Auslander–Yorke dichotomy for uniformly convergent and periodic non-autonomous systems, and show that, in the periodic case, the mean dynamical properties coincide with those of the associated autonomous system.