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<p>This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.</p>

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A review of chaotification techniques for discrete-time systems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月3日

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  • Lazaros Moysis,
  • Marcin Lawnik,
  • Murilo S. Baptista,
  • Christos Volos,
  • George F. Fragulis

摘要

This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.