Fractional-order heterogeneous memristive Rulkov neuronal network and its medical image watermarking application  

作　　者：丁大为 牛炎 张红伟 杨宗立 王金 王威 王谋媛 Dawei Ding;Yan Niu;Hongwei Zhang;Zongli Yang;Jin Wang;Wei Wang;Mouyuan Wang(School of Electronics and Information Engineering,Anhui University,Hefei 230601,China)

机构地区：[1]School of Electronics and Information Engineering,Anhui University,Hefei 230601,China

出　　处：《Chinese Physics B》2024年第5期306-314,共9页中国物理B（英文版）

摘　　要：This article proposes a novel fractional heterogeneous neural network by coupling a Rulkov neuron with a Hopfield neural network(FRHNN),utilizing memristors for emulating neural synapses.The study firstly demonstrates the coexistence of multiple firing patterns through phase diagrams,Lyapunov exponents(LEs),and bifurcation diagrams.Secondly,the parameter related firing behaviors are described through two-parameter bifurcation diagrams.Subsequently,local attraction basins reveal multi-stability phenomena related to initial values.Moreover,the proposed model is implemented on a microcomputer-based ARM platform,and the experimental results correspond to the numerical simulations.Finally,the article explores the application of digital watermarking for medical images,illustrating its features of excellent imperceptibility,extensive key space,and robustness against attacks including noise and cropping.

关 键 词：fractional order MEMRISTORS Rulkov neuron medical image watermarking 

分 类 号：R318[医药卫生—生物医学工程] TP309.7[医药卫生—基础医学] TP183[自动化与计算机技术—计算机系统结构]