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A new spatiotemporal chaotic system based on two-dimensional discrete system

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Abstract

Chaos maps are widely used in information security due to some attractive properties, but many low-dimensional chaotic maps have several disadvantages such as small parameter space, small Lyapunov exponent, and long calculation time. To better remedy these problems, the paper presents a new spatiotemporal chaotic system with high complex dynamical behavior and good randomness, which is called the general two-dimensional Hénon map (GTDHM). We mathematically investigate the Lyapunov exponent and spatial dynamical behavior of the new system and give the corresponding theorems and corollaries which reflects the good chaotic performance of the proposed system. Moreover, a novel pseudo-random sequence generator based on GTDHM is investigated, and the statistical testes are performed with NIST SP 800-22 statistical test suite. We explicitly show that pseudo-random sequences generated by GTDHM are random and have a weak correlation and possess a larger parameter space, which are good theoretical guarantees for the security of its application in encryption.

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Acknowledgements

This work was supported by the Basic Scientific Research Special Fund of Henan University of Technology (No. 2015RCJH18), National Natural Science Foundation of China (No. 52003076), National Key Research and Development Project of China (No. 2017YFD0401004), Major Public Welfare Project of Henan Province (No. 201300311200).

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Authors and Affiliations

  1. College of Information Science and Engineering, Henan University of Technology, Zhengzhou, 450001, China

    Zongwang Lv, Fuyan Sun & Chengxin Cai

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  1. Zongwang Lv
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  2. Fuyan Sun
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  3. Chengxin Cai
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Contributions

ZL and FS contributed to study conceptualization and writing (review and editing) the manuscript, data curation, formal analysis and writing (original draft), and CC supervised the project, formal analysis and writing (original draft) the manuscript.

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Correspondence to Fuyan Sun.

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Lv, Z., Sun, F. & Cai, C. A new spatiotemporal chaotic system based on two-dimensional discrete system. Nonlinear Dyn 109, 3133–3144 (2022). https://doi.org/10.1007/s11071-022-07585-2

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