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This paper aims to develop a technique to handle chaos using Ishikawa iteration and stabilizing the unstable periodic and fixed states that are the cause of chaotic behavior in a one-dimensional discrete system. In particular, we study theoretical and numerical simulation to demonstrate the influence and efficiency of the presented Ishikawa technique by analyzing the Lyapunov exponent property and period-doubling bifurcation. Further, we discuss the discrete traffic flow problem of converting an unstable approach to traffic into a nontraffic and stable region.

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Handling the Chaos and Improving the Traffic Control Systems

  • 章节

  • 发表日期：

    2026年

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  • Vipul Kumar,
  • Anita Tomar,
  • U. S. Rana,
  • Mohammad Sajid,
  • Manish Jain

摘要

This paper aims to develop a technique to handle chaos using Ishikawa iteration and stabilizing the unstable periodic and fixed states that are the cause of chaotic behavior in a one-dimensional discrete system. In particular, we study theoretical and numerical simulation to demonstrate the influence and efficiency of the presented Ishikawa technique by analyzing the Lyapunov exponent property and period-doubling bifurcation. Further, we discuss the discrete traffic flow problem of converting an unstable approach to traffic into a nontraffic and stable region.