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<p>This study proposed a novel 5D hyperchaotic system constructed by extending a 4D hyperchaotic framework with a linear memristor model, which significantly enhanced its dynamical complexity. Phase portraits and time-series analyses revealed the chaotic attractor characteristics under unstable equilibria, while Lyapunov exponent spectra, Kaplan-Yorke dimension calculations, and initial condition sensitivity verified its hyperchaotic nature. An active-control-based synchronization controller was designed to achieve global asymptotic synchronization between drive-response systems, providing a critical foundation for secure communication. In image encryption applications, dynamic keys generated from chaotic sequences enabled pixel-level encryption and lossless decryption via XOR operations. Experimental results demonstrated that the encrypted image achieved an information entropy of 7.9993 bits, 100% decryption fidelity. These findings confirmed the physical feasibility and engineering potential of the 5D hyperchaotic system in information security, paving the way for its future applications in information security and related engineering domains.</p>

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Novel Hyperchaotic System with Linear Memristor: Active Synchronization and an Image Encryption Application

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Yan Zhou,
  • Yujie Guo,
  • Wei Zhang,
  • Peiyan Zhao

摘要

This study proposed a novel 5D hyperchaotic system constructed by extending a 4D hyperchaotic framework with a linear memristor model, which significantly enhanced its dynamical complexity. Phase portraits and time-series analyses revealed the chaotic attractor characteristics under unstable equilibria, while Lyapunov exponent spectra, Kaplan-Yorke dimension calculations, and initial condition sensitivity verified its hyperchaotic nature. An active-control-based synchronization controller was designed to achieve global asymptotic synchronization between drive-response systems, providing a critical foundation for secure communication. In image encryption applications, dynamic keys generated from chaotic sequences enabled pixel-level encryption and lossless decryption via XOR operations. Experimental results demonstrated that the encrypted image achieved an information entropy of 7.9993 bits, 100% decryption fidelity. These findings confirmed the physical feasibility and engineering potential of the 5D hyperchaotic system in information security, paving the way for its future applications in information security and related engineering domains.