【摘要】：在非線性系統(tǒng)中混沌是一類特殊的物理現(xiàn)象,具有初始狀態(tài)敏感性、類噪聲性、自相似性等特點(diǎn)。它廣泛地存在于物理學(xué)、生命科學(xué),以及社會(huì)科學(xué)等領(lǐng)域,并與相對(duì)論、量子力學(xué)共同被譽(yù)為20世紀(jì)人類最偉大的三大成就。目前伴隨非線性理論的不斷發(fā)展,混沌逐漸成為信息安全方面一個(gè)重要的研究領(lǐng)域。與一般的混沌結(jié)構(gòu)不同,多渦卷混沌系統(tǒng)的運(yùn)動(dòng)軌跡擁有更為豐富的相空間結(jié)構(gòu)、更加復(fù)雜的非線性行為及多變的密鑰空間,并且其運(yùn)動(dòng)軌跡還可以在同一個(gè)吸引子中的不同混沌渦卷之間進(jìn)行隨機(jī)跳變,這些特性使得多渦卷混沌系統(tǒng)在實(shí)際工程中具有十分廣闊的應(yīng)用前景。而如何設(shè)計(jì)出新型多渦卷混沌模型,并將其進(jìn)行物理應(yīng)用,已引起國(guó)內(nèi)外專家學(xué)者的廣泛關(guān)注。本論文重點(diǎn)探討了多渦卷混沌模型對(duì)應(yīng)的結(jié)構(gòu)特性。首先,在Chua’s電路的模型上,采用簡(jiǎn)單的Heaviside方程得到了一種拉伸式多渦卷混沌模型,并分析了其混沌狀態(tài)下的動(dòng)力學(xué)特性。其次,還搭建了該系統(tǒng)的PSPICE電路。通過線性耦合法,構(gòu)建了拉伸式多渦卷混沌系統(tǒng)對(duì)應(yīng)的同步模型,并將其引入保密通信中,從而驗(yàn)證了新系統(tǒng)在實(shí)際應(yīng)用中的有效性及可行性。緊接著,探究了混沌系統(tǒng)與多翼吸引子之間的內(nèi)在聯(lián)系,并將非奇非偶函數(shù)引入3維多翼蝴蝶混沌系統(tǒng),從而改變了傳統(tǒng)多翼蝴蝶型混沌模型相對(duì)單一的設(shè)計(jì)理念。同時(shí),分析了系統(tǒng)的動(dòng)力學(xué)特性包括:相空間的拓?fù)浣Y(jié)構(gòu),系統(tǒng)變量生成的時(shí)域波形,功率譜,Lyapunov指數(shù)以及復(fù)雜度等。其電路實(shí)驗(yàn)與理論模擬基本相同,進(jìn)而為多翼蝴蝶型混沌模型的構(gòu)建給出了新的思路。最后,考慮到當(dāng)前多渦卷混沌模型的電路結(jié)構(gòu)較為復(fù)雜,一個(gè)電路模型一般只能生成一種吸引子結(jié)構(gòu)。本論文結(jié)合電路工作原理設(shè)計(jì)出一種3維自治混沌開關(guān)系統(tǒng),實(shí)現(xiàn)了單個(gè)渦卷混沌模型的雙混沌吸引子控制結(jié)構(gòu),從而提高了單個(gè)混沌模型在實(shí)際工程中的利用率。通過理論推導(dǎo)、數(shù)值仿真探究了其對(duì)應(yīng)的非線性動(dòng)力學(xué)特性及其在開關(guān)控制下混沌吸引子結(jié)構(gòu)的變化情況。同時(shí),設(shè)計(jì)了新系統(tǒng)的同步方案,并實(shí)現(xiàn)了信號(hào)的加密、解密,從而為多渦卷混沌系統(tǒng)的物理設(shè)計(jì)及應(yīng)用提供了一定的理論基礎(chǔ)。
[Abstract]:Chaos is a special kind of physical phenomenon in nonlinear systems, which has the characteristics of initial state sensitivity, noise-like property, self-similarity and so on. It widely exists in physics, life science, social science and other fields, and, together with relativity and quantum mechanics, is known as the three greatest achievements of mankind in the 20th century. With the continuous development of nonlinear theory, chaos has gradually become an important research field in information security. Different from the general chaotic structure, the trajectory of multi-scroll chaotic system has more abundant phase spatial structure, more complex nonlinear behavior and changeable key space. Moreover, the trajectory of the system can also jump randomly between different chaotic scrolls in the same index. these characteristics make the multi-scroll chaotic system have a very broad application prospect in practical engineering. However, how to design a new multi-scroll chaotic model and apply it to physics has attracted extensive attention of experts and scholars at home and abroad. In this paper, the structural characteristics of the multi-scroll chaotic model are discussed. Firstly, on the model of Chua's circuit, a stretched multi-scroll chaotic model is obtained by using simple Heaviside equation, and the dynamic characteristics of the model in chaotic state are analyzed. Secondly, the PSPICE circuit of the system is also built. Through the linear coupling method, the synchronization model of the stretched multi-scroll chaotic system is constructed and introduced into the secure communication, which verifies the effectiveness and feasibility of the new system in practical application. Then, the internal relationship between chaotic system and multi-wing attractor is explored, and the non-odd and non-even function is introduced into the three-dimensional multi-wing butterfly chaotic system, thus changing the design concept of the traditional multi-wing butterfly chaos model. At the same time, the dynamic characteristics of the system are analyzed, including the topological structure of phase space, the time domain waveform generated by system variables, power spectrum, Lyapunov index and complexity. The circuit experiment and theoretical simulation are basically the same, and then a new idea for the construction of multi-wing butterfly chaotic model is given. Finally, considering that the circuit structure of the current multi-scroll chaotic model is more complex, a circuit model can only generate one attractive substructure. In this paper, a three-dimensional autonomous chaotic switch system is designed according to the working principle of the circuit, and the double chaotic Attractor control structure of a single scroll chaos model is realized, which improves the utilization rate of a single chaotic model in practical engineering. Through theoretical derivation, the corresponding nonlinear dynamic characteristics and the variation of chaotic attractive substructure under switch control are investigated by numerical simulation. At the same time, the synchronization scheme of the new system is designed, and the signal encryption and decryption are realized, which provides a certain theoretical basis for the physical design and application of multi-scroll chaotic system.
【學(xué)位授予單位】：西南大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O415.5

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 吳潔寧;王麗丹;段書凱;;基于憶阻器的時(shí)滯混沌系統(tǒng)及偽隨機(jī)序列發(fā)生器[J];物理學(xué)報(bào);2017年03期

2 閔國(guó)旗;王麗丹;段書凱;;離子遷移憶阻混沌電路及其在語(yǔ)音保密通信中的應(yīng)用[J];物理學(xué)報(bào);2015年21期

3 毛學(xué)志;徐勇;劉建平;馬會(huì)泉;;基于反正切的網(wǎng)格混沌吸引子及其保密通信[J];通信學(xué)報(bào);2014年12期

4 劉樂柱;張季謙;許貴霞;梁立嗣;汪茂勝;;一種基于混沌系統(tǒng)部分序列參數(shù)辨識(shí)的混沌保密通信方法[J];物理學(xué)報(bào);2014年01期

5 歐青立;徐蘭霞;;一個(gè)新的多渦卷混沌系統(tǒng)及其電路仿真[J];計(jì)算機(jī)工程與應(yīng)用;2013年12期

6 包伯成;徐強(qiáng);徐煜明;汪小鋒;;三維多渦卷Colpitts混沌系統(tǒng)及其數(shù)字硬件實(shí)現(xiàn)[J];電路與系統(tǒng)學(xué)報(bào);2011年01期

7 張旭;唐國(guó)寧;;基于多渦卷混沌系統(tǒng)的數(shù)字保密通信方案[J];計(jì)算機(jī)應(yīng)用;2009年S2期

8 張朝霞;禹思敏;;Design and implementation of a novel multi-scroll chaotic system[J];Chinese Physics B;2009年01期

9 鄧成良,丘水生;一種新的混沌調(diào)制技術(shù)在保密通信中的應(yīng)用[J];南昌大學(xué)學(xué)報(bào)(理科版);2004年02期

10 禹思敏,丘水生,林清華;多渦卷混沌吸引子研究的新結(jié)果[J];中國(guó)科學(xué)E輯:技術(shù)科學(xué);2003年04期

相關(guān)博士學(xué)位論文 前1條

1 張朝霞;幾類多渦卷與多翅膀混沌系統(tǒng)建模、控制及應(yīng)用研究[D];廣東工業(yè)大學(xué);2011年

相關(guān)碩士學(xué)位論文 前1條

1 陳仕必;多渦卷混沌吸引子的生成及其在保密通信中應(yīng)用研究[D];湘潭大學(xué);2011年

，

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