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<p>In this paper we introduce the notions of topological sensitivity and its stronger forms for nonautonomous discrete dynamical systems and obtain sufficient conditions such that these notions are preserved under iterations and altered nonautonomous systems. It is proved that for a finitely generated nonautonomous system on an infinite Urysohn space, topological transitivity and dense periodicity imply topological sensitivity.</p>

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Topological Sensitivity for Nonautonomous Discrete Dynamical Systems

  • 期刊论文

  • 发表日期：

    2025年4月28日

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  • Mohammad Salman,
  • Ruchi Das

摘要

In this paper we introduce the notions of topological sensitivity and its stronger forms for nonautonomous discrete dynamical systems and obtain sufficient conditions such that these notions are preserved under iterations and altered nonautonomous systems. It is proved that for a finitely generated nonautonomous system on an infinite Urysohn space, topological transitivity and dense periodicity imply topological sensitivity.