Scholarlink

<p>The development of novel models can lead to new findings, design new algorithms, and expand practical applications. In this article, we propose a new piecewise-continuous (PWC) system by introducing a threshold level for the states in both the Lorenz and Rabinovich systems. This threshold enables dynamical transitions between the Lorenz system and the Rabinovich system while preserving their fundamental characteristics. Further, this new system exhibits unique dynamic behaviors, including the simultaneous presence of a self-excited chaotic set and two-point attractors, the coexistence of self-excited and hidden attractors with distinct four wings, as well as the coexistence of two hidden scrolls and hidden chaotic attractors. Moreover, the electronic circuit using off-the-shelf components is designed on a schematic capture and SPICE simulator tool. A technique for achieving adaptive synchronization (AS) between switching dynamical systems with completely unknown parameters is proposed, employing sliding mode control. Numerical simulations are conducted to validate the reliability of the AS algorithm. Furthermore, by capitalizing on the inherent switching property of PWC systems, a technique for secure communications is proposed. The approach is based on the concept of dividing the message signal into segments and distributing them across a PWC chaotic system. Subsequently, these encrypted signals are transmitted through two channels. This methodology significantly enhances the overall security of the communication. Various statistical tests are conducted to evaluate the robustness of the method.</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

PWC Lorenz–Rabinovich system: complex dynamics, circuit realization, and a new technique for adaptive synchronization via sliding mode control with application to cryptosystems design

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年12月8日

查看全文
  • A. A.-H. Shoreh,
  • Soliman A. A. Hamdallah,
  • Motaz M. Elbadry,
  • Gamal M. Mahmoud

摘要

The development of novel models can lead to new findings, design new algorithms, and expand practical applications. In this article, we propose a new piecewise-continuous (PWC) system by introducing a threshold level for the states in both the Lorenz and Rabinovich systems. This threshold enables dynamical transitions between the Lorenz system and the Rabinovich system while preserving their fundamental characteristics. Further, this new system exhibits unique dynamic behaviors, including the simultaneous presence of a self-excited chaotic set and two-point attractors, the coexistence of self-excited and hidden attractors with distinct four wings, as well as the coexistence of two hidden scrolls and hidden chaotic attractors. Moreover, the electronic circuit using off-the-shelf components is designed on a schematic capture and SPICE simulator tool. A technique for achieving adaptive synchronization (AS) between switching dynamical systems with completely unknown parameters is proposed, employing sliding mode control. Numerical simulations are conducted to validate the reliability of the AS algorithm. Furthermore, by capitalizing on the inherent switching property of PWC systems, a technique for secure communications is proposed. The approach is based on the concept of dividing the message signal into segments and distributing them across a PWC chaotic system. Subsequently, these encrypted signals are transmitted through two channels. This methodology significantly enhances the overall security of the communication. Various statistical tests are conducted to evaluate the robustness of the method.