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Generation of ideal chaotic sequences by reducing the dynamical degradation of digital chaotic maps

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Abstract

Chaotic systems have good characteristics, such as sensitivity to initial value and parameter, ergodicity, certainty and so on. Using chaos to generate pseudo-random sequences for encryption has good efficiency and security. However, due to the limitation of computing precision, the chaotic sequence running on the computer will enter a cycle after several times of iterations. In this paper, a control method is proposed to reduce this phenomenon. In this method, one chaotic map is used to adjust the parameters of another chaotic map, which makes the sequence generated by this model has good dynamic characteristics under a low computing precision. To prove the effectiveness of this model, two examples are provided. Furthermore, the dynamical performances of these two chaotic systems have been demonstrated by a series of analyses.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

This work is supported by the National Natural Science Foundation of China (62262039, 61862042); Outstanding Youth Foundation of Jiangxi Province (20212ACB212006).

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Authors and Affiliations

  1. School of Software, Nanchang University, Nanchang, 330031, China

    Shijie Zhang & Lingfeng Liu

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  1. Shijie Zhang
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  2. Lingfeng Liu
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Correspondence to Lingfeng Liu.

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Zhang, S., Liu, L. Generation of ideal chaotic sequences by reducing the dynamical degradation of digital chaotic maps. Soft Comput 28, 4471–4487 (2024). https://doi.org/10.1007/s00500-023-08836-z

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