Eur. Phys. J. Plus (2022) 137: 434
https://doi.org/10.1140/epjp/s13360-022-02652-4

Regular Article

Dynamic analysis and application in medical digital image watermarking of a new multi-scroll neural network with quartic nonlinear memristor

¹ School of Computer and Communication Engineering, Changsha University of Science and Technology, 410114, Changsha, China
² College of Computer Science and Electronic Engineering, Hunan University, 410082, Changsha, China

^e caishuo@csust.edu.cn

Received: 7 January 2022
Accepted: 24 March 2022
Published online: 7 April 2022

Abstract

Memristor is widely used in various neural bionic models because of its excellent characteristics in biological neural activity simulation. In this paper, a piecewise nonlinear function is used to transform the quartic memristor, which is introduced into the ternary Hopfield neural network (HNN) with self-feedback, and a piecewise quartic memristive chaotic neural network model with multi-scroll is constructed. Through simulation analysis, the number of scroll layers changes with memristor parameters and has significant coexistence of multi-scroll attractors and high initial value sensitivity has been found. Using its excellent unpredictability, a digital watermarking algorithm based on wavelet transform is improved and used in the protection of personal medical data. The results show that it not only improves the confidentiality and convenience, but also ensures its robustness and has good encryption effect.