JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (6): 118-126.doi: 10.6040/j.issn.1671-9352.0.2025.337

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Analysis of a class of five-dimensional memristive chaotic systems and application in image encryption

WANG Chenxu, CAO Haisong*   

  1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, Henan, China
  • Published:2026-06-04

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Abstract: With the rapid transmission of information flow in digital networks, images, as key information carriers, face severe security threats during transmission. This paper introduces a hyperbolic tangent memristor model into a four-dimensional chaotic system to construct a novel five-dimensional memristor chaotic system. Firstly, the dynamical characteristics of the system are systematically analyzed from aspects such as attractor phase diagrams, dissipation, stability of equilibrium points, bifurcation diagrams, and Lyapunov exponents. The research results show that the system exhibits rich hyperchaotic behaviors. Subsequently, the chaotic system is combined with an image encryption algorithm to design a new encryption scheme based on the scrambling-diffusion architecture. Finally, a comprehensive security analysis of the encryption algorithm is conducted. The experimental results demonstrate that the algorithm can effectively resist various attacks and has high security.

Key words: memristor, chaotic system, image encryption, security analysis

CLC Number: 

  • O174
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