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Hindmarsh-Rose神經(jīng)元網(wǎng)絡(luò)斑圖動力學(xué)研究

發(fā)布時間:2018-11-26 07:22
【摘要】:神經(jīng)系統(tǒng)是由神經(jīng)元組成的,神經(jīng)元之間通過各種耦合方式來實現(xiàn)信號傳遞。由于靶波和螺旋波可以像“節(jié)拍器”一樣,調(diào)節(jié)神經(jīng)系統(tǒng)電活動的集體行為,因此斑圖動力學(xué)理論能夠預(yù)測網(wǎng)絡(luò)群體振蕩行為的穩(wěn)定性。當正常信號傳播受到干擾或出現(xiàn)非自發(fā)的神經(jīng)疾病時,網(wǎng)絡(luò)中呈現(xiàn)混沌狀態(tài)。本文基于Hindmarsh-Rose神經(jīng)元網(wǎng)絡(luò)模型構(gòu)造了最近鄰連接下的規(guī)則神經(jīng)元網(wǎng)絡(luò),通過利用自適應(yīng)控制、調(diào)節(jié)系統(tǒng)參數(shù)、改變邊界條件以及實驗條件等方法實現(xiàn)對神經(jīng)元網(wǎng)絡(luò)穩(wěn)定性控制。針對該課題做了以下研究:1.通過三種不同的方法產(chǎn)生靶波,研究靶波在易激發(fā)介質(zhì)中出現(xiàn)的潛在機制。并加入與結(jié)構(gòu)有關(guān)的人工缺陷觀察對靶波的影響。證實了缺陷對靶波的影響取決于靶波的內(nèi)稟屬性(產(chǎn)生靶波的方式)。2.神經(jīng)系統(tǒng)缺陷可以發(fā)射連續(xù)波或脈沖,擾亂正常神經(jīng)系統(tǒng)的信號傳播。通過對外部激勵產(chǎn)生波及其傳播過程的研究,分析缺陷的形成機制。發(fā)現(xiàn)在外部激勵下可以產(chǎn)生缺陷,且外部激勵產(chǎn)生的波與缺陷誘發(fā)的波可以共存。3.網(wǎng)絡(luò)邊界上的結(jié)點選取隨機初始值,通過觀察神經(jīng)元網(wǎng)絡(luò)各結(jié)點膜電位的空間分布,來研究初始值對神經(jīng)元放電模式的影響。發(fā)現(xiàn)適當?shù)鸟詈蠌姸认?網(wǎng)絡(luò)中可以觀察到螺旋波。4.研究規(guī)則神經(jīng)元網(wǎng)絡(luò)中同時施加局部周期激勵和噪聲時的動力學(xué)行為。發(fā)現(xiàn)螺旋波和平面波可以共存于神經(jīng)元網(wǎng)絡(luò)中,即使施加的噪聲和外界周期激勵位置不同,二維規(guī)則神經(jīng)元網(wǎng)絡(luò)中仍會出現(xiàn)隨機共振行為。5.對網(wǎng)絡(luò)少數(shù)結(jié)點的輸出信號進行動態(tài)實時檢測,利用非線性分析方法診斷網(wǎng)絡(luò)細微漲落引發(fā)的相變行為,以及通過各個采樣檢測點的關(guān)聯(lián)度,確定故障和崩潰的位置和范圍。把該方法擴展到多體系統(tǒng)安全性檢測和診斷,為消除故障、減少事故損害提供依據(jù)。
[Abstract]:The nervous system is composed of neurons, which transmit signals by various coupling methods. Because target wave and spiral wave can adjust the collective behavior of nervous system electrical activity just like metronome, the theory of pattern dynamics can predict the stability of population oscillation behavior in the network. When the normal signal propagation is disturbed or the non-spontaneous neural disease occurs, the network presents chaotic state. Based on the Hindmarsh-Rose neural network model, a regular neural network with nearest neighbor connection is constructed in this paper. By using adaptive control, the parameters of the system are adjusted. The stability control of neural network is realized by changing the boundary condition and experimental conditions. The following research has been done on this subject: 1. The potential mechanism of target wave in excitable medium is studied by three different methods. The effect of artificial defect observation on the target wave is added. It is proved that the effect of defect on target wave depends on the intrinsic property of target wave (the way in which the target wave is produced). 2. Nervous system defects can emit continuous waves or pulses to disrupt signal transmission in the normal nervous system. The mechanism of defect formation is analyzed by studying the wave generation and its propagation process of external excitation. It is found that defects can be produced under external excitation and that waves generated by external excitation and waves induced by defects can coexist. The random initial values of the nodes in the network boundary are selected to study the effect of the initial values on the firing patterns of neurons by observing the spatial distribution of the membrane potentials of each node of the neural network. It is found that helical waves. 4. 4 can be observed in the network with proper coupling strength. The dynamic behavior of regular neural networks under local periodic excitation and noise is studied. It is found that helical wave and plane wave can coexist in the neural network, even if the noise applied is different from the external periodic excitation position, the stochastic resonance behavior will still occur in the two-dimensional regular neural network. The output signals of a few nodes in the network are dynamically detected in real time. The nonlinear analysis method is used to diagnose the phase change behavior caused by the subtle fluctuations of the network. The location and scope of the fault and collapse are determined by the correlation degree of each sampling and detection point. The method is extended to multibody system safety detection and diagnosis, which provides the basis for eliminating fault and reducing accident damage.
【學(xué)位授予單位】:蘭州理工大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:R338;TN911.6

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