基于网络模体的信号放大研究

发布时间：2018-04-15 07:29

本文选题：复杂网络 + 耦合前馈模体　；参考：《江苏师范大学》2017年硕士论文

【摘要】：复杂网络理论已发展成为一种有效理解复杂系统的重要方法。值得注意的是,在不同的复杂网络中却有着相似的全局特性,比如小世界特性和无标度特性;进一步研究表明,复杂网络还具有相似的局域特性,即模体。模体是在网络中反复多次出现的由少量节点构成的子图,被人们认为是构成网络的基本模块。基于网络模体是实现网络功能的重要单元,本论文主要研究弱信号在三个节点构成的网络模体上的传输与放大情况。我们的研究表明,具有前馈特点的三节点网络模体对弱信号具有放大功能。主要研究内容如下:第一章是绪论,主要介绍信号放大并简要介绍了我们的工作。第二章首先介绍有关模体的知识,接着阐述非线性动力学方程的稳定性分析以及动力学系统中典型的分岔,最后讨论模体的动力学模型。第三章研究耦合前馈模体上弱信号的放大。与前馈模体相比,耦合前馈模体在两个输入节点之间多了一条连边,并且对弱信号具有更好的放大效果。研究表明,耦合前馈模体输入节点间连边耦合强度可以调节输出节点的放大情况,最后进行了理论分析。第四章研究互馈模体上弱信号的放大。与前馈模体相比,互馈模体中输出节点对输入节点存在反馈作用。结果表明输出节点对输入节点有一定程度的反馈时,可以很好地提高输出节点对弱信号的响应。最后我们对隐藏在背后的机制进行了分析。第五章给出本文的总结并提出展望。
[Abstract]:Complex network theory has become an important method to understand complex systems effectively.It is worth noting that there are similar global characteristics in different complex networks, such as small-world and scale-free properties, and further studies show that complex networks also have similar local properties, that is, motifs.Motifs are subgraphs composed of a small number of nodes which appear repeatedly in the network and are regarded as the basic modules of the network.Based on the fact that the network motif is an important unit to realize the network function, this paper mainly studies the transmission and amplification of the weak signal on the network motif composed of three nodes.Our study shows that the three-node network motifs with feedforward features can amplify weak signals.The main contents are as follows: the first chapter is an introduction, mainly introduces the signal amplification and briefly introduces our work.In the second chapter, the knowledge about motifs is introduced, and then the stability analysis of nonlinear dynamic equations and the typical bifurcation in dynamic systems are described. Finally, the dynamic models of motifs are discussed.In chapter 3, the weak signal amplification on the coupled feedforward mode is studied.Compared with the feedforward mode, the coupled feedforward mode has one more edge between the two input nodes, and has a better amplification effect on the weak signal.The results show that the coupling strength between the input nodes of the coupled feedforward mode can adjust the amplification of the output nodes. Finally, the theoretical analysis is carried out.In chapter 4, we study the amplification of weak signal on the mutual feed mode.Compared with feedforward motifs, the output nodes in the mutual-fed motifs have feedback effects on the input nodes.The results show that the response of the output node to the weak signal can be improved when the output node has a certain degree of feedback to the input node.Finally, we analyze the hidden mechanism.The fifth chapter gives the summary of this paper and puts forward the prospect.
【学位授予单位】：江苏师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.5

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