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<p>In this paper, we have introduced a new chaotic system having an exponential nonlinear term and proposed a novel scheme to synchronize six drive systems with four response systems. The concepts of compound synchronization and compound combination synchronization have been extended to dual compound combination synchronization involving ten chaotic systems, and it is first of its kind. The state vectors of the drive and response systems have been switched randomly to obtain multiswitching of signals. Due to multiple combinations of chaotic systems and multiswitching of signals, the security of the transmitted signals is enhanced. Lyapunov stability theory has been used to achieve sufficient conditions and to design suitable controllers to realize the desired synchronization between the drive and response systems. Theoretical results are given, and numerical simulations are carried out to show the effectiveness of the proposed method.</p>

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Chaotic Analysis of a New 3D System with Exponential Nonlinearity and its Dual Compound Combination Multiswitching Synchronization using Nonlinear Control

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • D. Khattar,
  • N. Agrawal,
  • G. Singh

摘要

In this paper, we have introduced a new chaotic system having an exponential nonlinear term and proposed a novel scheme to synchronize six drive systems with four response systems. The concepts of compound synchronization and compound combination synchronization have been extended to dual compound combination synchronization involving ten chaotic systems, and it is first of its kind. The state vectors of the drive and response systems have been switched randomly to obtain multiswitching of signals. Due to multiple combinations of chaotic systems and multiswitching of signals, the security of the transmitted signals is enhanced. Lyapunov stability theory has been used to achieve sufficient conditions and to design suitable controllers to realize the desired synchronization between the drive and response systems. Theoretical results are given, and numerical simulations are carried out to show the effectiveness of the proposed method.