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

doi:10.1088/1674-1056/acdac3

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.

Keywords: chaotic system memristor intermittent chaos multi-transient behavior image encryption

Received: 13 April 2023
Revised: 30 May 2023
Accepted manuscript online: 02 June 2023

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Jn	(High-dimensional chaos)

Fund: 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).

Corresponding Authors: Ze-An Tian
E-mail: tianzean@hnu.edu.cn

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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 2023 Chin. Phys. B 32 100503

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

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