基于忆阻Sprott-R混沌系统的图像加密算法

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【Abstract] Basedonthe dynamic characteristicsof the four-dimensional memristive Sprot-R chaotic system，the study analyzethe phasediagrams，Lyapunovexponent spectra，andbifurcationdiagramsofthesystem，revealing itsrichdyamic behaviors，whichindicateitspotentialapplicationvalueinthefieldofimage encryption.Wedesignanencryptionalgorithm byusing thechaoticsequences generatedbythissystem，integratingadition modulodifusion，finitefielddiffusion，and non-repeating permutation，thereby enhancing the securityof images during transmision.To evaluate the efectivenessof this encryptionscheme，MATLAB is used to plot the pixel value frequencydistribution histogramandtheadjacent pixel map，andthekeyspace，information entropy，andcorrelationofadjacent pixelswereanalyzed.Theresultsindicatethatthis encryptionscheme notonly possesses alargekey space but also excels inencryption efectivenessandresistance toexteal attacks.

【Key Words】memristor; image encryption algorithm; non-repetitive scrambling algorithm;finite field diffusion

[中图分类号]TP309.7;O415.5 [文献标识码］A [文章编号]1674-3229（2025）01-0120-09

0 引言

在信息时代，数字图像作为信息传输和存储的核心工具面临着严重的安全性问题，尤其是在开放的网络环境中。（剩余4986字）