物理学报2026，Vol.75Issue(1)：195-209,15.DOI:10.7498/aps.75.20251242
基于离散忆阻器的复值混沌系统动力学分析及其在双图像加密中的应用
Discrete memristor-based complex-valued chaotic system dynamic analysis and its application in dual-image encryption
摘要
Abstract
The exploration of complex-valued chaos not only provides a feasible approach for practical applications such as image encryption,but also has great potential in simulating wave phenomena and quantum inspired process.In order to bridge it with nonlinear circuit components,we introduce a novel complex-valued chaotic system by embedding a discrete memristor into a complex Gaussian map.The memristor,a component with inherent physical memory,is uniquely driven by the modulus of the complex state variable,which is a key physical quantity often related to energy or amplitude in wave systems.This coupling induces complex nonlinear dynamics,which are physically characterized through Lyapunov exponents and bifurcation analysis,revealing an enhanced and more robust chaotic regime.The physical feasibility of this system is demonstrated by its successful hardware realization on an FPGA platform.To demonstrate its potential applications,we leverage the complex chaotic flows of the system to engineer a dual-image encryption scheme,where the encryption process is explained as a physical diffusion and scrambling of information represented by a complex matrix.Our results verify that this approach not only yields a cryptosystem with high security but also provides a link between complex chaos and information security applications.关键词
离散忆阻器/复值混沌/FPGA/双图像加密Key words
discrete memristor/complex-valued chaos/FPGA implementation/dual-image encryption引用本文复制引用
邓全利,王春华,杨港..基于离散忆阻器的复值混沌系统动力学分析及其在双图像加密中的应用[J].物理学报,2026,75(1):195-209,15.基金项目
国家自然科学基金(批准号:62571183,62271197)和广东省基础与应用基础研究基金(批准号:2024A1515011910)资助的课题. Project supported by the National Natural Science Foundation of China(Grant Nos.62571183,62271197)and the Basic and Applied Basic Research Foundation of Guangdong Province,China(Grant No.2024A1515011910). （批准号:62571183,62271197）
