Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

doi:10.1088/1674-1056/acdac3

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/acdac3

Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

Can-Ling Jian(蹇璨岭)¹, Ze-An Tian(田泽安)^2,1,†, Bo Liang(梁波)¹, Chen-Yang Hu(胡晨阳)¹, Qiao Wang(王桥)^1,3, and Jing-Xi Chen(陈靖翕)⁴

1 College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China;
2 College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China;
3 College of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China;
4 College of Mechanical Engineering, Guizhou University, Guiyang 550025, China

收稿日期:2023-04-13 修回日期:2023-05-30 接受日期:2023-06-02 出版日期:2023-09-21 发布日期:2023-10-08
通讯作者: Ze-An Tian E-mail:tianzean@hnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. U1612442) and Science and Technology Special Foundation Project of Guizhou Water Resources Department (Grant No. KT202236).

Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

Can-Ling Jian(蹇璨岭)¹, Ze-An Tian(田泽安)^2,1,†, Bo Liang(梁波)¹, Chen-Yang Hu(胡晨阳)¹, Qiao Wang(王桥)^1,3, and Jing-Xi Chen(陈靖翕)⁴

1 College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China;
2 College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China;
3 College of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China;
4 College of Mechanical Engineering, Guizhou University, Guiyang 550025, China

Received:2023-04-13 Revised:2023-05-30 Accepted:2023-06-02 Online:2023-09-21 Published:2023-10-08
Contact: Ze-An Tian E-mail:tianzean@hnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. U1612442) and Science and Technology Special Foundation Project of Guizhou Water Resources Department (Grant No. KT202236).

摘要/Abstract

摘要： A new four-dimensional (4D) memristive chaotic system is obtained by introducing a memristor into the Rucklidge chaotic system, and a detailed dynamic analysis of the system is performed. The sensitivity of the system to parameters allows it obtains 16 different attractors by changing only one parameter. The various transient behaviors and excellent spectral entropy and C0 complexity values of the system can also reflect the high complexity of the system. A circuit is designed and verified the feasibility of the system from the physical level. Finally, the system is applied to image encryption, and the security of the encryption system is analyzed from multiple aspects, providing a reference for the application of such memristive chaotic systems.

关键词: chaotic system, memristor, intermittent chaos, multi-transient behavior, image encryption

Abstract: A new four-dimensional (4D) memristive chaotic system is obtained by introducing a memristor into the Rucklidge chaotic system, and a detailed dynamic analysis of the system is performed. The sensitivity of the system to parameters allows it obtains 16 different attractors by changing only one parameter. The various transient behaviors and excellent spectral entropy and C0 complexity values of the system can also reflect the high complexity of the system. A circuit is designed and verified the feasibility of the system from the physical level. Finally, the system is applied to image encryption, and the security of the encryption system is analyzed from multiple aspects, providing a reference for the application of such memristive chaotic systems.

Key words: chaotic system, memristor, intermittent chaos, multi-transient behavior, image encryption

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Gg (Control of chaos, applications of chaos) 05.45.Jn (High-dimensional chaos)

Can-Ling Jian(蹇璨岭), Ze-An Tian(田泽安), Bo Liang(梁波), Chen-Yang Hu(胡晨阳), Qiao Wang(王桥), and Jing-Xi Chen(陈靖翕). Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption[J]. 中国物理B, 2023, 32(10): 100503-100503.

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Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

Rucklidge-based memristive chaotic system: Dynamic analysis and image encryption

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