憶容器混沌系統(tǒng)及其在郵件加密中的應(yīng)用研究
發(fā)布時(shí)間：2018-08-06 19:28
【摘要】：早在20世紀(jì)70年代就提出了憶阻器的概念,但是直到2008年,HP實(shí)驗(yàn)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(chǔ)器(RRAM)及神經(jīng)網(wǎng)絡(luò)研究等領(lǐng)域具有重要的應(yīng)用價(jià)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(kāi)展。目前,關(guān)于憶容器的研究仍以數(shù)學(xué)模型及等效電路為主,來(lái)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(xué)模型及其等效電路實(shí)現(xiàn),并基于荷控憶容器設(shè)計(jì)了一個(gè)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(dòng)力學(xué)特性。設(shè)計(jì)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(shè)計(jì)了混沌-DES加密算法,并用于電子郵件安全軟件設(shè)計(jì)。研究?jī)?nèi)容包括如下幾個(gè)方面:(1)介紹了憶阻器、憶容器、憶感器的數(shù)學(xué)定義以及HP實(shí)驗(yàn)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(shè)計(jì)了相應(yīng)的等效電路驗(yàn)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(gè)新的三維連續(xù)混沌系統(tǒng),通過(guò)平衡點(diǎn)、分岔圖、Lyapunov指數(shù)進(jìn)行系統(tǒng)混沌系統(tǒng)特性分析,并通過(guò)動(dòng)力學(xué)地圖分析系統(tǒng)的狀態(tài)分布情況。研究結(jié)果表明該系統(tǒng)最大的特點(diǎn)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(dǎo)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(gòu)造了一個(gè)自治的混沌振蕩系統(tǒng),通過(guò)動(dòng)力學(xué)地圖、分岔圖及Lyapunov指數(shù)分析了在參數(shù)變化過(guò)程中系統(tǒng)的動(dòng)力學(xué)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(duì)四階混沌系統(tǒng)進(jìn)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(shuō)明系統(tǒng)的共存振蕩特性被削弱。利用實(shí)際器件設(shè)計(jì)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(lǐng)域的應(yīng)用價(jià)值,分析了混沌系統(tǒng)與密碼學(xué)的關(guān)系,介紹了傳統(tǒng)DES加密算法。憶容器混沌序列通過(guò)了NIST所有測(cè)試指標(biāo),說(shuō)明憶容器混沌信號(hào)具有良好的隨機(jī)性。利用憶容器混沌序列替換傳統(tǒng)DES密鑰,設(shè)計(jì)了混沌-DES加密算法。基于該算法設(shè)計(jì)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(xué)位授予單位】：杭州電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN60;O415.5
本文編號(hào)：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(xué)位授予單位】：杭州電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN60;O415.5
【參考文獻(xiàn)】
相關(guān)期刊論文 前10條
1 阮靜雅;孫克輝;牟俊;;基于憶阻器反饋的Lorenz超混沌系統(tǒng)及其電路實(shí)現(xiàn)[J];物理學(xué)報(bào);2016年19期
2 周鑫;姜明華;;一次一密與引子密鑰研究[J];中國(guó)新通信;2016年13期
3 許雅明;王麗丹;段書(shū)凱;;磁控二氧化鈦憶阻混沌系統(tǒng)及現(xiàn)場(chǎng)可編程邏輯門陣列硬件實(shí)現(xiàn)[J];物理學(xué)報(bào);2016年12期
4 張國(guó)山;胡雪蘭;;具有恒Lyapunov指數(shù)譜的新三維混沌系統(tǒng)分析與電路實(shí)現(xiàn)[J];大學(xué)物理;2016年03期
5 王聰;張宏立;;基于原對(duì)偶狀態(tài)轉(zhuǎn)移算法的分?jǐn)?shù)階多渦卷混沌系統(tǒng)辨識(shí)[J];物理學(xué)報(bào);2016年06期
6 王光義;蔡博振;靳培培;胡體玲;;Memcapacitor model and its application in a chaotic oscillator[J];Chinese Physics B;2016年01期
7 黨小宇;李春彪;包伯成;武花干;;Complex transient dynamics of hidden attractors in a simple 4D system[J];Chinese Physics B;2015年05期
8 俞清;包伯成;胡豐偉;徐權(quán);陳墨;王將;;基于一階廣義憶阻器的文氏橋混沌振蕩器研究[J];物理學(xué)報(bào);2014年24期
9 趙益波;張秀再;孫心宇;;基于Weiner模型超混沌lü系統(tǒng)的自適應(yīng)辨識(shí)[J];物理學(xué)報(bào);2014年13期
10 艾星星;孫克輝;賀少波;王會(huì)海;;簡(jiǎn)化Lorenz多渦卷混沌吸引子的設(shè)計(jì)與應(yīng)用[J];物理學(xué)報(bào);2014年12期
相關(guān)碩士學(xué)位論文 前2條
1 鄭倩;基于PKI技術(shù)的安全郵件系統(tǒng)的研究與實(shí)現(xiàn)[D];北京郵電大學(xué);2015年
2 范婷婷;混沌序列在數(shù)字簽名中的應(yīng)用研究[D];杭州電子科技大學(xué);2015年
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