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<p>The direct implementation of chaotic systems operating in the real number domain on hardware devices with finite precision may lead to varying degrees of data truncation and loss. This phenomenon can significantly degrade the performance necessary for chaotic secure communication and hinder the broader adoption of chaotic systems in practical engineering applications. To address this issue, this study proposes a novel methodology for designing Controlled Digitized Nonlinear System Models (CDNSMs). By introducing control functions and modifying the iterative formulas of digital chaotic systems, enables CDNSMs that meet specific requirements for output sequence period lengths. The theoretical validation provides a detailed description of the construction process for two models (CDNSM-1 and CDNSM-2) based on the proposed control method. Experimental results demonstrate that the output sequence period lengths of the proposed models are controllable and can achieve the theoretical upper limit. Furthermore, by altering the specific expressions of the control functions within the proposed CDNSMs, several distinct controlled digital nonlinear systems can be designed. This approach ensures precise control of the output sequence period length and is therefore suitable for practical applications of digital chaotic systems. Moreover, a pseudo-random sequence generator (PRNG) based on the proposed system is designed and implemented in hardware, and finally an encryption system is constructed to verify the practical engineering usability of the PRNG.</p>

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Generalized novel digitized chaotic system control method with output sequence cycle length up to the theoretical upper limit and FPGA implementation

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • Jian Zeng,
  • Qun Ding

摘要

The direct implementation of chaotic systems operating in the real number domain on hardware devices with finite precision may lead to varying degrees of data truncation and loss. This phenomenon can significantly degrade the performance necessary for chaotic secure communication and hinder the broader adoption of chaotic systems in practical engineering applications. To address this issue, this study proposes a novel methodology for designing Controlled Digitized Nonlinear System Models (CDNSMs). By introducing control functions and modifying the iterative formulas of digital chaotic systems, enables CDNSMs that meet specific requirements for output sequence period lengths. The theoretical validation provides a detailed description of the construction process for two models (CDNSM-1 and CDNSM-2) based on the proposed control method. Experimental results demonstrate that the output sequence period lengths of the proposed models are controllable and can achieve the theoretical upper limit. Furthermore, by altering the specific expressions of the control functions within the proposed CDNSMs, several distinct controlled digital nonlinear systems can be designed. This approach ensures precise control of the output sequence period length and is therefore suitable for practical applications of digital chaotic systems. Moreover, a pseudo-random sequence generator (PRNG) based on the proposed system is designed and implemented in hardware, and finally an encryption system is constructed to verify the practical engineering usability of the PRNG.