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Modular chaotification model with FPGA implementation

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Abstract

Chaotic systems are an effective tool for various applications, including information security and internet of things. Many chaotic systems may have the weaknesses of incomplete output distributions, discontinuous chaotic regions, and simple chaotic behaviors. These may result in many negative influences in practical applications utilizing chaos. To deal with these issues, this study introduces a modular chaotification model (MCM) to increase the dynamic properties of current one-dimensional (1D) chaotic maps. To exhibit the effect of the MCM, three 1D chaotic maps are improved using the MCM as examples. Studies of the resulting properties show the robust and complex dynamics of these improved chaotic maps. Moreover, we implement these improved chaotic maps of MCM in a field-programmable gate array hardware platform and apply them to the application of PRNG. Performance analyses verify that these chaotic maps improved by the MCM have more complicated chaotic behaviors and wider chaotic ranges than the existing and several new chaotic maps.

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Authors and Affiliations

  1. School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, 518055, China

    ZhongYun Hua & YinXing Zhang

  2. College of Electrical and Information Engineering, Hunan University, Changsha, 410082, China

    BingHang Zhou

  3. Department of Computer and Information Science, University of Macau, Macau, 999078, China

    YiCong Zhou

Authors
  1. ZhongYun Hua
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  2. BingHang Zhou
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  3. YinXing Zhang
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  4. YiCong Zhou
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Corresponding author

Correspondence to ZhongYun Hua.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 62071142), and the Natural Scientific Research Innovation Foundation in Harbin Institute of Technology (Grant No. HIT.NSRIF.2020077).

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Hua, Z., Zhou, B., Zhang, Y. et al. Modular chaotification model with FPGA implementation. Sci. China Technol. Sci. 64, 1472–1484 (2021). https://doi.org/10.1007/s11431-020-1717-1

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  • DOI: https://doi.org/10.1007/s11431-020-1717-1

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