新型忆阻器混沌电路及其在图像加密中的应用

闵富红; 王珠林; 王恩荣; 曹弋

doi:10.11999/JEIT160178

新型忆阻器混沌电路及其在图像加密中的应用

doi: 10.11999/JEIT160178

基金项目:

国家自然科学基金(51475246)，江苏省自然科学基金(BK20131402)

计量
- 文章访问数: 2221
- HTML全文浏览量: 403
- PDF下载量: 676
- 被引次数: 0
出版历程
- 收稿日期: 2016-03-01
- 修回日期: 2016-04-22
- 刊出日期: 2016-10-19

New Memristor Chaotic Circuit and Its Application to Image Encryption

Funds:

The National Natural Science Foundation of China (51475246), The Natural Science Foundation of Jiangsu Province (BK20131402)

摘要

摘要: 忆阻器是一种拥有记忆功能的电阻，目前忆阻器的研究热点及难点在于新模型的建立以及相关方面的应用。该文提出一种基于双曲正弦函数的新型磁控忆阻器模型，通过分析电压和电流的相轨迹关系，发现其具有典型的忆阻器电压-电流特性曲线。利用新建的忆阻器模型构造新型忆阻混沌系统，通过数值仿真绘出新系统的相轨迹图、分岔图、Lyapunov 指数谱等，分析了不同参数时系统的混沌演化过程。另外，基于电路仿真软件Multisim研制了实验仿真电路, 该电路结构简单、易于实际制作，且仿真实验与理论分析结论十分吻合，证实了提出的忆阻混沌系统电路在物理上是可以实现的。最后，利用新系统混沌序列对图像进行加密，重点分析了加密直方图、相邻像素相关性以及抗攻击能力与密钥敏感性，结果表明新系统对图像密钥及明文都非常敏感，密钥空间较大，新提出的忆阻混沌系统应用于图像加密具有较高的安全性能。
- 忆阻器 /
- 混沌电路 /
- 动力学行为 /
- 图像加密
Abstract: Memristor is a kind of resistance and in possession of the function of memory. The research hotspots and difficulties at present memristor lie in the application of the new model and related areas. A novel magnetron memristor model based on hyperbolic sine function is designed and found that its characteristic is consistent with the typical memristor from the trajectory of voltage and current phase. A new memristor chaotic systemshe using the new memristor model is also presented, and then the phase trajectories, the bifurcation diagram and Lyapunov exponent spectrum of the new system are plotted through numerical simulations. In addition, based on Multisim circuit simulation software for the new system simulation, both experimental and simulation results validate the proposed equivalent circuit realization. Finally, the chaotic sequences generated by the new system are used for scrambling the pixel position to protect image information security. The correlation and statistic histogram entropy of adjacent pixels, anti-attack capability and key sensitivity of the encrypted image are analyzed, which indicate that the new memristive chaotic system has much better potential advantages than other existing chaotic system in image encryption application with high safety performance.
- Memristor /
- Chaotic circuit /
- Dynamical behavior /
- Image encryption

HTML全文

参考文献(29)

STRUKOV D B, SNIDER G S, STEWART D R, et al. Memristor-the missing circuit element[J]. Nature, 2008, 453(5): 80-83.

CHUA L O. The missing memristor found[J]. IEEE Transactions on Circuit Theory, 1971, 18(5): 507-519.

VAYNSHTEYN M and LANIS A. Applications of electrochemical elements in systems of artificial intelligence[J]. Natural Science, 2013, 11(10): 45-51.

ELLA G. TiO2-based memristors and ReRAM materials, mechanisms and models[J]. Semiconductor Science and Technology, 2014, 29(10): 104004-104014.

SHIN S, KIM K, and KANG S M. Memristor applications for programmable[J]. IEEE Transactions on Nanotechnology, 2011, 10(2): 266-274.

Ebong I E and Mazumder P. CMOS and memristor-based[J]. Proceedings of the IEEE, 2012, 100(6): 2050-2060.

LI Zhijun and ZENG Yicheng. Memristor oscillator based on twin-T network[J].Chinese Physics B, 2013, 22(4): 040502-6.

俞清, 包伯成, 胡丰伟, 等. 基于一阶广义忆阻器的文氏桥混沌振荡器研究[J]. 物理学报, 2014, 63(24): 240505-11.

YU Qin, BAO Bocheng, HU Fenwei, et al. Wien-bridge chaotic oscillator based on fisrt-order generalized memristor[J]. Acta Physica Sinica, 2014, 63(24): 240505-11.

朱从旭, 胡玉平, 孙克辉. 基于超混沌系统和密文交错扩散的图像加密新算法[J]. 电子与信息学报, 2012, 34(7): 1735-1743. doi: 10.3724/SP.J.1146.2011.01004.

ZHU Congxu, HU Yuping, and SUN Kehui. New image encryption algorithm based on hyperchaotic system and ciphertext diffusion in crisscross pattern[J]. Journal of Electronics Information Technology, 2012, 34(7): 1735-1743. doi: 10.3724/SP.J.1146.2011.01004.

彭再平, 王春华, 林愿, 等. 一种新型的四维多翼超混沌吸引子及其在图像加密中的研究[J]. 物理学报, 2014, 63(24): 240506-10.

PENG Zaiping, WANG Chunhua, LIN Yuan, et al. A novel four-dimensional multi-wing hyper-chaotic attractor and its application in image encryption[J]. Acta Physica Sinica, 2014, 63(24): 240506-10.

袁惠群, 张中华. 规范形QI系统的Hopf分岔分析及控制[J].控制理论与应用, 2013, 30(5): 656-660.

YUAN Huiqun and ZHANG Zhonghua. Bifurcation analysis and control of a QI system based on normal form[J]. Control Theory Applications, 2013, 30(5): 656-660.

邵书义, 闵富红, 吴薛红, 等. 基于现场可编程逻辑门阵列的新型混沌系统实现[J]. 物理学报, 2014, 63(6): 060501-9.

SHAO Shuyi, MIN Fuhong, WU Xuehong, et al. Implementation of a new chaotic system based on field programmable gate array[J]. Acta Physica Sinica, 2014, 63(6): 060501-9.

VENTRA D M, PERSHIN Y V, and CHUA L O. Circuit elements with memory[J]. Proceedings of the IEEE, 2009, 97(10): 1717-1724.

MUTHUSWAMY B. Implementing memristor based chaotic circuits[J]. International Journal of Bifurcation and Chaos, 2010, 20(8): 1335-1346.

LIU Zhong, BAO Bocheng, and Xu Jianping. Transient chaos in smooth memristor oscillator[J]. Chinese Physics B, 2010 19(3): 030510-6.

何宝祥, 包伯成. 忆阻器网络等效分析电路及其特性研究[J]. 电子与信息学报, 2012, 34(5): 1252-1256. doi: 10.3724/ SP.J.1146.2011.00875.

HE Baoxiang and BAO Bocheng. Research on the equivalent analysis circuit of memristors network and its characteristics[J]. Journal of Electronics Information Technology , 2012, 34(5): 1252-1256. doi: 10.3724/ SP.J.1146. 2011.00875.

董哲康, 段书凯, 胡小方.非线性忆阻器的串并联研究及在图像处理中的应用[J]. 西南大学学报(自然科学版), 2015, 37(2): 153-161.

DONG Zhekang, DUAN Shukai, and HU Xiaofang. Study on the series-parallel connection circuits of nonlinear memristors and their applications in image processing[J]. Journal of Southwest University (Natural Science), 2015, 37(2): 153-161.

包伯成, 王春丽, 武花干. 忆阻电路降维建模与特性分析[J].物理学报, 2014, 63(2): 020504-9.

BAO Bocheng, WANG Chunli, and WU Huagan. Dimensionality reduction modeling and characteristic analysis of memristive circuit[J]. Acta Physica Sinica, 2014, 63(2): 020504-9.

EI-SAYED A M A, ELSAID A, NOUR H M, et al. Dynamical behavior, chaos control and synchronization[J]. Communication in Nonlinear Science and Numerical Simulation, 2013, 18(1): 148-170.

官国荣, 吴成茂, 贾倩. 一种改进的高性能Lorenz系统构造及其应用[J]. 物理学报, 2015, 64(2): 020501-14.

GUAN Guorong, WU Chengmao, and JIA Qian. An improved high performance Lorenz system and its application[J]. Acta Physica Sinica, 2015, 64(2): 020501-14.

施引文献

资源附件(0)

访问统计