https://doi.org/10.1140/epjp/s13360-023-04836-y
Regular Article
A novel multistable chaotic system with 2m-scroll attractor and its application
1
School of Automation and Electronic Information, Xiangtan University, 411105, Xiangtan, Hunan, China
2
School of Electrical, Electronic and Computer Engineering, University of Western Australia, 6009, Crawley, WA, Australia
Received:
24
October
2023
Accepted:
26
December
2023
Published online:
19
January
2024
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.
Jie Ding, Jianhui Li, Shaobo He, Xinan Zhang, Herbert Ho-Ching Iu and Zhijun Li have contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
