A memristive Ikeda map and its application in image encryption

Mengjiao Wang, Zou Yi and Zhijun Li

Chaos, Solitons & Fractals, 2025, vol. 190, issue C

Abstract: Existing research indicates that discrete-time chaotic systems are more likely to achieve hyperchaotic states in lower dimensions compared to continuous-time chaotic systems. Recently, introducing discrete memristors into chaotic map to enhance system dynamics performance has become a hot topic in the field of chaos research. In this paper, a memristive Ikeda map (MIKM) based on discrete memristors is proposed and the system dynamics behavior is analyzed in depth by chaotic attractor phase diagrams, Lyapunov exponent spectrum, bifurcation diagrams, spectral entropy (SE), distributional properties and fractal dimensions. Numerical simulation results indicate that the introduction of discrete memristor enriches the dynamic characteristics of the Ikeda map, such as expanding the range of chaos, enhancing the ergodicity, and prompting the transition from chaotic to hyperchaotic states. We further studied the influence of coupling strength K on the dynamic behavior of the system. We explored the use of the discrete memristor as internal perturbations to achieve parameter-controlled symmetric attractors and the introduction of constant controllers to achieve signal polarity adjustment. At the same time, we implemented the improved Ikead map on the STM32 hardware platform and developed a pseudo-random number generator (PRNG). Finally, an image encryption algorithm was designed based on the proposed improved Ikeda map. The experimental results show that the proposed algorithm is robust.

Keywords: Hyperchaotic map; Discrete memristor; Chaos; Polarity control; PRNG; Image encryption (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792401292X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:190:y:2025:i:c:s096007792401292x

DOI: 10.1016/j.chaos.2024.115740

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().