憶容器混沌系統(tǒng)及其在郵件加密中的應用研究
發(fā)布時間：2018-08-06 19:28
【摘要】：早在20世紀70年代就提出了憶阻器的概念,但是直到2008年,HP實驗室才證明了憶阻元件的存在。憶阻器是具有記憶功能的非線性元件,在非易失性阻抗存儲器(RRAM)及神經(jīng)網(wǎng)絡研究等領域具有重要的應用價值。2009年,廣義憶阻器、廣義憶容器及廣義憶感器被提出,憶容器特性研究才逐漸開展。目前,關于憶容器的研究仍以數(shù)學模型及等效電路為主,來探索憶容器在非線性電路中的特性。本文主要研究了荷控憶容器與磁控憶容器的數(shù)學模型及其等效電路實現(xiàn),并基于荷控憶容器設計了一個混沌振蕩器。分析了荷控憶容器混沌系統(tǒng)受參數(shù)和初值影響的動力學特性。設計了降階系統(tǒng)的模擬電路,得到了一種混沌吸引子。最后,利用憶容器混沌序列替換DES密鑰序列,設計了混沌-DES加密算法,并用于電子郵件安全軟件設計。研究內(nèi)容包括如下幾個方面:(1)介紹了憶阻器、憶容器、憶感器的數(shù)學定義以及HP實驗室TiO_2憶阻器的端口特性。分析了荷控憶容器的光滑三次曲線模型和壓控憶容器的光滑二次曲線模型,并分別設計了相應的等效電路驗證其緊滯回線特性。(2)分析了典型的一維離散Logistic映射與連續(xù)的Lorenz混沌系統(tǒng),介紹了混沌系統(tǒng)的分析方法。提出了一個新的三維連續(xù)混沌系統(tǒng),通過平衡點、分岔圖、Lyapunov指數(shù)進行系統(tǒng)混沌系統(tǒng)特性分析,并通過動力學地圖分析系統(tǒng)的狀態(tài)分布情況。研究結果表明該系統(tǒng)最大的特點是具有共存吸引子,即系統(tǒng)參數(shù)固定,不同的變量初始值組合,導致系統(tǒng)軌跡最終收斂于不同的吸引子。(3)根據(jù)荷控憶容器構造了一個自治的混沌振蕩系統(tǒng),通過動力學地圖、分岔圖及Lyapunov指數(shù)分析了在參數(shù)變化過程中系統(tǒng)的動力學特性。另外,在固定系統(tǒng)參數(shù)的情況下,分析了初值變化的分岔圖及Lyapunov指數(shù)譜。分析發(fā)現(xiàn),該憶容器混沌系統(tǒng)具有共存振蕩特性,存在多種共存吸引子。對四階混沌系統(tǒng)進行積分處理,得到降階系統(tǒng),發(fā)現(xiàn)共存吸引子類型減少,說明系統(tǒng)的共存振蕩特性被削弱。利用實際器件設計了三階混沌系統(tǒng)模擬電路,得到了共存混沌吸引子中的一種。(4)為研究混沌系統(tǒng)在通信領域的應用價值,分析了混沌系統(tǒng)與密碼學的關系,介紹了傳統(tǒng)DES加密算法。憶容器混沌序列通過了NIST所有測試指標,說明憶容器混沌信號具有良好的隨機性。利用憶容器混沌序列替換傳統(tǒng)DES密鑰,設計了混沌-DES加密算法�；谠撍惴ㄔO計了一款電子郵件安全軟件。
[Abstract]:The concept of a resistive device was put forward in the 1970s, but it was not until 2008 that the existence of the resistive element was proved by HP Labs. The memory resistor is a nonlinear element with memory function, which has important application value in the field of non-volatile impedance memory (RRAM) and neural network. In 2009, the generalized memory device, the generalized memory container and the generalized memory sensor were proposed. The research on the characteristics of receptacles was carried out gradually. At present, mathematical models and equivalent circuits are still used to study the characteristics of memory vessels in nonlinear circuits. This paper mainly studies the mathematical model and equivalent circuit realization of charge controlled memory vessel and magnetic memory container, and designs a chaotic oscillator based on charge controlled memory vessel. The dynamic characteristics of the chaotic system affected by parameters and initial values are analyzed. An analog circuit of reduced order system is designed and a chaotic attractor is obtained. Finally, a chaotic encryption algorithm is designed by replacing the DES key sequence with the chaotic sequence of the memory container, and it is used in the design of the email security software. The contents of the research are as follows: (1) the mathematical definition of the resistive device, the memory container, the memory sensor and the port characteristics of the HP Labs TiO_2 resistor are introduced. The smooth cubic curve model of the charge controlled memory vessel and the smooth quadratic curve model of the pressure controlled memory vessel are analyzed. The corresponding equivalent circuits are designed to verify the properties of the tight hysteretic loop. (2) the typical one-dimensional discrete Logistic maps and continuous Lorenz chaotic systems are analyzed and the analytical methods of the chaotic systems are introduced. In this paper, a new three-dimensional continuous chaotic system is proposed. The characteristic of the chaotic system is analyzed by the equilibrium point, the bifurcation diagram and Lyapunov exponent, and the state distribution of the system is analyzed by the dynamic map. The results show that the main characteristic of the system is the coexisting attractor, that is, the system parameters are fixed, and the initial values of different variables are combined. As a result, the trajectory of the system eventually converges to different attractors. (3) an autonomous chaotic oscillation system is constructed according to the charge controlled memory vessel. The dynamic characteristics of the system are analyzed by means of dynamic maps, bifurcation diagrams and Lyapunov exponents. In addition, the bifurcation diagram and Lyapunov exponent spectrum of initial values are analyzed under the condition of fixed system parameters. It is found that the chaotic system has the characteristics of coexistence oscillation and multiple coexisting attractors. By integrating the fourth order chaotic system, the reduced order system is obtained. It is found that the coexisting attractor type is reduced, which indicates that the coexistence oscillation characteristic of the system is weakened. A third order chaotic system simulation circuit is designed by using practical devices, and one of the coexisting chaotic attractors is obtained. (4) in order to study the application value of chaotic system in the field of communication, the relationship between chaotic system and cryptography is analyzed. This paper introduces the traditional DES encryption algorithm. The chaotic sequence of the vessel has passed all the test indexes of NIST, which shows that the chaotic signal of the container has good randomness. The chaotic-des encryption algorithm is designed by replacing the traditional DES key with the chaotic sequence of the memory container. Based on this algorithm, an e-mail security software is designed.
【學位授予單位】：杭州電子科技大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN60;O415.5
本文編號：2168752
[Abstract]:The concept of a resistive device was put forward in the 1970s, but it was not until 2008 that the existence of the resistive element was proved by HP Labs. The memory resistor is a nonlinear element with memory function, which has important application value in the field of non-volatile impedance memory (RRAM) and neural network. In 2009, the generalized memory device, the generalized memory container and the generalized memory sensor were proposed. The research on the characteristics of receptacles was carried out gradually. At present, mathematical models and equivalent circuits are still used to study the characteristics of memory vessels in nonlinear circuits. This paper mainly studies the mathematical model and equivalent circuit realization of charge controlled memory vessel and magnetic memory container, and designs a chaotic oscillator based on charge controlled memory vessel. The dynamic characteristics of the chaotic system affected by parameters and initial values are analyzed. An analog circuit of reduced order system is designed and a chaotic attractor is obtained. Finally, a chaotic encryption algorithm is designed by replacing the DES key sequence with the chaotic sequence of the memory container, and it is used in the design of the email security software. The contents of the research are as follows: (1) the mathematical definition of the resistive device, the memory container, the memory sensor and the port characteristics of the HP Labs TiO_2 resistor are introduced. The smooth cubic curve model of the charge controlled memory vessel and the smooth quadratic curve model of the pressure controlled memory vessel are analyzed. The corresponding equivalent circuits are designed to verify the properties of the tight hysteretic loop. (2) the typical one-dimensional discrete Logistic maps and continuous Lorenz chaotic systems are analyzed and the analytical methods of the chaotic systems are introduced. In this paper, a new three-dimensional continuous chaotic system is proposed. The characteristic of the chaotic system is analyzed by the equilibrium point, the bifurcation diagram and Lyapunov exponent, and the state distribution of the system is analyzed by the dynamic map. The results show that the main characteristic of the system is the coexisting attractor, that is, the system parameters are fixed, and the initial values of different variables are combined. As a result, the trajectory of the system eventually converges to different attractors. (3) an autonomous chaotic oscillation system is constructed according to the charge controlled memory vessel. The dynamic characteristics of the system are analyzed by means of dynamic maps, bifurcation diagrams and Lyapunov exponents. In addition, the bifurcation diagram and Lyapunov exponent spectrum of initial values are analyzed under the condition of fixed system parameters. It is found that the chaotic system has the characteristics of coexistence oscillation and multiple coexisting attractors. By integrating the fourth order chaotic system, the reduced order system is obtained. It is found that the coexisting attractor type is reduced, which indicates that the coexistence oscillation characteristic of the system is weakened. A third order chaotic system simulation circuit is designed by using practical devices, and one of the coexisting chaotic attractors is obtained. (4) in order to study the application value of chaotic system in the field of communication, the relationship between chaotic system and cryptography is analyzed. This paper introduces the traditional DES encryption algorithm. The chaotic sequence of the vessel has passed all the test indexes of NIST, which shows that the chaotic signal of the container has good randomness. The chaotic-des encryption algorithm is designed by replacing the traditional DES key with the chaotic sequence of the memory container. Based on this algorithm, an e-mail security software is designed.
【學位授予單位】：杭州電子科技大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN60;O415.5
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