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A novel multistable chaotic system with 2m-scroll attractor and its application

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Abstract

Recently, the construction of interesting chaotic systems has become an important and meaningful task. In this paper, based on the classical Jerk system, an improved Jerk chaotic system with extreme multistability is proposed by introducing the tangent function. The system can produce an infinite number of coexisting attractors. Additionally, the system exhibits intricate bifurcation behavior in the space of two parameters. Secondly, a chaotic system with a controllable amount of attractor scroll is initially designed based on a modified Jerk chaotic system by introducing fractal transformation. An unlimited number of coexisting four-scroll attractor, six-scroll attractor, eight-scroll attractor, and other unusual coexistence dynamics are discovered, which is interesting. Finally, a simple image encryption technique based on the scrambling–diffusion framework is designed using the proposed system. The experimental results demonstrate the effectiveness of the encryption scheme.

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Data Availibility Statement

This manuscript has associated data in a data repository. [Authors comment: The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.]

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 62071411) and the Research Foundation of Education Department of Hunan Province, China (Grant No.20B567).

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Author notes

  1. Jie Ding, Jianhui Li, Shaobo He, Xinan Zhang, Herbert Ho-Ching Iu and Zhijun Li have contributed equally to this work.

Authors and Affiliations

  1. School of Automation and Electronic Information, Xiangtan University, Xiangtan, 411105, Hunan, China

    Mengjiao Wang, Jie Ding, Jianhui Li, Shaobo He & Zhijun Li

  2. School of Electrical, Electronic and Computer Engineering, University of Western Australia, Crawley, WA, 6009, Australia

    Xinan Zhang & Herbert Ho-Ching Iu

Authors
  1. Mengjiao Wang
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  2. Jie Ding
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Correspondence to Mengjiao Wang.

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Wang, M., Ding, J., Li, J. et al. A novel multistable chaotic system with 2m-scroll attractor and its application. Eur. Phys. J. Plus 139, 64 (2024). https://doi.org/10.1140/epjp/s13360-023-04836-y

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