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<p>The article aims at investigating modulus hybrid projective combination synchronization (MHPCS) of chaotic time-delay complex systems using a global asymptoical stability active control technique. Control functions are efficiently designed for achieving proposed synchronization in view of Lyapunov function for stability analysis. Additionally, MHPCS scheme has been accomplished between non-identical time-delayed hyperchaotic systems. Within the framework of MPCS synchronization, a secure communication scheme is outlined. The transmission of message signals employs the technique of chaotic signal masking to enhance security and confidentiality. Finally, numerical simulations illustrate the effectivity as well as accuracy of modulus synchronization technique utilizing Runge–Kutta algorithm and MATLAB toolbox for delay-differential equations.</p>

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On global asymptotical stability for time-delay complex hyperchaotic systems with uncertainty and disturbance via active controlled modulus hybrid projective combination synchronization strategy

  • 期刊论文

  • 发表日期：

    2025年12月18日

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  • Uzma Nigar,
  • Harindri Chaudhary,
  • Taqseer Khan,
  • M. Mursaleen

摘要

The article aims at investigating modulus hybrid projective combination synchronization (MHPCS) of chaotic time-delay complex systems using a global asymptoical stability active control technique. Control functions are efficiently designed for achieving proposed synchronization in view of Lyapunov function for stability analysis. Additionally, MHPCS scheme has been accomplished between non-identical time-delayed hyperchaotic systems. Within the framework of MPCS synchronization, a secure communication scheme is outlined. The transmission of message signals employs the technique of chaotic signal masking to enhance security and confidentiality. Finally, numerical simulations illustrate the effectivity as well as accuracy of modulus synchronization technique utilizing Runge–Kutta algorithm and MATLAB toolbox for delay-differential equations.