A dynamic information flow control framework for hyperchaos in complex-variable systems and FPGA-based applications

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-07-15 DOI:10.1016/j.chaos.2025.116858

Xiangguang Sun, Jun Zheng

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引用次数: 0

Abstract

Traditional chaotic systems suffer from dynamical degradation and fragile chaos caused by the fixed data flow direction in cryptographic applications. To address these limitations, this paper proposes a dynamic information flow control (DIFC) framework by introducing three novel operators to enable real-time control of information flow paths in complex-variable chaotic systems. The resulting DIFC-based complex-variable chaotic system (DIFC-CVCS) exhibits strong hyperchaotic behavior with strictly bounded trajectories and remains stable under 16-bit precision. The DIFC system achieves a near-ideal permutation entropy of average value 0.9992 and demonstrates robust chaotic properties. A pseudorandom number generator (PRNG) constructed from DIFC-CVCS passes all 15 NIST SP800-22 statistical tests with a 100% success rate. Hardware implementation on field-programmable gate arrays (FPGA) validates the practical feasibility of the design, achieving a throughput of 500 Mbps. The proposed control framework provides a new paradigm for designing high-performance and precision-resilient chaotic systems for secure applications.

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复杂变量系统超混沌动态信息流控制框架及fpga应用

在密码学应用中，由于数据流方向固定，传统混沌系统存在动态退化和脆弱混沌问题。为了解决这些限制，本文提出了一个动态信息流控制（DIFC）框架，通过引入三种新的算子来实现复杂变量混沌系统中信息流路径的实时控制。所得到的基于difc的复杂变量混沌系统（DIFC-CVCS）表现出具有严格有界轨迹的强超混沌行为，并在16位精度下保持稳定。DIFC系统获得了接近理想的平均0.9992的排列熵，具有鲁棒性。基于DIFC-CVCS构建的伪随机数生成器（PRNG）以100%的成功率通过了NIST SP800-22的全部15项统计测试。在现场可编程门阵列（FPGA）上的硬件实现验证了该设计的实际可行性，实现了500mbps的吞吐量。所提出的控制框架为安全应用的高性能、高精度弹性混沌系统的设计提供了一种新的范式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.