新型记忆器件建模及其在混沌振荡器与网络传输中的应用研究

发布时间：2018-09-19 10:10

【摘要】：1971年Chua根据电路基本变量之间的关系推测了忆阻器的存在。2008年HP实验室发现纳米级器件TiO_2具有与忆阻器一样的特性,从而证实了忆阻器的存在。2009年Chua等人在忆阻器的基础上提出了忆容器和忆感器的概念,从而丰富了记忆器件的概念。记忆器件是具有记忆功能的非线性元件,可以应用于非易失性存储器、神经网络、计算机科学等领域,记忆器件已经成为国内外学者的研究热点。由于目前记忆器件还未实现市场化,尤其对忆容器和忆感器的研究还处在建模阶段,所以将数学模型和电路模型作为研究记忆器件的重点。本文构造分析了TiO_2磁控忆阻器、荷控忆容器、磁控忆容器、磁控忆感器的数学模型,并根据其数学模型建立了相对应的等效电路。基于记忆器件的数学模型设计了包含忆阻器和忆容器的混沌振荡器及包含忆容器和忆感器的混沌振荡器,分析了分岔特性和Lyapunov指数谱等动力学特性特性。最后分析了基于忆阻器和忆容器的混沌信号的随机性,基于约瑟夫环提出了一种新的混沌加密算法,并将加密算法结合Open SSL设计了一个网络安全传输系统。本文主要的研究重点如下:(1)提出了TiO_2磁控忆阻器、荷控忆容器和磁控忆容器的数学模型,分析了三次光滑曲线磁控忆感器数学模型,并根据磁控忆阻器、荷控忆容器、磁控忆容器、磁控忆感器的数学模型设计了等效电路,利用Multisim软件对其进行电路仿真和实验,电路仿真结果和数值仿真结果基本上是一致的,表明忆阻器两端v-i、忆容器两端v-q、忆感器两端i-φ满足紧致的滞回曲线特性。(2)基于记忆器件的数学模型和蔡氏电路设计了含有两个记忆器件的混沌振荡器,分别是基于忆阻器和忆容器的混沌振荡器及基于忆容器和忆感器的混沌振荡器。对设计的混沌振荡器进行包括分岔特性和Lyapunov指数谱等基本动力学特性特性分析,分析结果显示基于两个记忆器件的混沌振荡系统具有复杂的动力学特性行为,例如共存吸引子现象。利用DSP技术对基于两个记忆器件的混沌振荡器进行了数字化实现,DSP实验结果与数值仿真结果基本上是一致的。(3)研究了基于忆阻器和忆容器的混沌振荡系统在网络安全传输中的应用。利用NIST测试软件对基于忆阻器和忆容器的混沌序列进行了随机性测试,测试结果显示其性能优于Lorenz系统。由于基于忆阻器和忆容器的混沌序列随机性良好,其密钥空间大,基于约瑟夫环提出了一种新的混沌加密算法,结合Open SSL设计了一个网络安全传输系统,保证了数据在传输中的安全性。
[Abstract]:In 1971, Chua speculated the existence of the resistive device based on the relationship between the basic variables of the circuit. In 2008, the HP lab found that the nano-device TiO_2 had the same characteristics as the resistive device. In 2009, Chua et al put forward the concepts of memory container and sensor, which enriched the concept of memory device. Memory devices are nonlinear components with memory function, which can be used in non-volatile memory, neural networks, computer science and other fields. Memory devices have become the research hotspot of scholars at home and abroad. Because the memory device has not been marketized at present, especially the research on the memory container and sensor is still in the modeling stage, so the mathematical model and the circuit model are regarded as the focus of the research on the memory device. In this paper, the mathematical models of TiO_2 magnetically controlled amnesia, charge controlled memory container and magnetic controlled amnesia are constructed, and the corresponding equivalent circuits are established according to their mathematical models. Based on the mathematical model of memory devices, chaotic oscillators with amnesia and memory vessels and chaotic oscillators with memory containers and sensors are designed. The bifurcation characteristics and Lyapunov exponent spectra are analyzed. Finally, the randomness of chaotic signals based on amnesia and memory container is analyzed. A new chaotic encryption algorithm based on Joseph loop is proposed, and a network secure transmission system is designed by combining the encryption algorithm with Open SSL. The main research points of this paper are as follows: (1) the mathematical models of TiO_2 magnetically controlled amnesia, charge controlled amnesia container and magnetically controlled amnesia container are proposed, and the mathematical model of cubic smooth curve magnetic amnesia sensor is analyzed. The equivalent circuit is designed for the mathematical model of magnetic control memory container and magnetic memory sensor. The circuit simulation and experiment are carried out by using Multisim software. The results of circuit simulation and numerical simulation are basically the same. It is shown that the two ends of the memory device v-i, the two ends of the receptacle v-qand the two ends of the sensor satisfy the tight hysteretic curve characteristics. (2) based on the mathematical model of the memory device and Chua's circuit, a chaotic oscillator with two memory devices is designed. Chaotic oscillator based on amnesia and memory container and chaotic oscillator based on memory container and sensor respectively. The basic dynamic characteristics of the designed chaotic oscillator, including bifurcation characteristics and Lyapunov exponent spectrum, are analyzed. The results show that the chaotic oscillation system based on two memory devices has complex dynamic characteristics. For example, coexisting attractor phenomenon. The digital realization of chaotic oscillator based on two memory devices using DSP technology is basically consistent with the numerical simulation results. (3) the chaotic oscillation system based on amnesia and memory container is studied in the network. Applications in secure transmission. The random test of chaotic sequence based on amnesia and memory container is carried out by using NIST test software. The test results show that its performance is superior to that of Lorenz system. Because the chaotic sequence based on amnesia and memory container has good randomness and its key space is large, a new chaotic encryption algorithm based on Joseph ring is proposed, and a network secure transmission system is designed based on Open SSL. The security of data transmission is guaranteed.
【学位授予单位】：杭州电子科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN752;TN60

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