几类典型网络动力学控制的新方法

项目名称： 几类典型网络动力学控制的新方法

项目编号： No.11475253

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 占萌

作者单位： 华中科技大学

项目金额： 80万元

中文摘要： 揭示结构-动力学-功能关系是当代科学的中心课题。由于实际系统中的物质和信息的交换与传播通常是在具有不同拓扑结构的复杂网络媒介上进行的，研究其上的时空动力学行为及其进一步的干预和控制（即如何通过网络上若干节点的操控来实现整个动力学行为及其相对应功能的改变）具有重要的科学意义。本项目拟针对几类典型的网络动力学行为，如同步动力学和相继故障，深入挖掘传统控制理论方法，进一步发展用于复杂网络动力学行为控制的新方法，如针对完全同步-失同步相互转换的精准控制方法, 针对相同步的频率参数置换控制方法，和针对相继故障的早期预防和早期信号检测等，并在具体理论模型和实际电力网格模型中加以应用。研究成果将加深对于时空复杂性的认识和有利于网络动力学控制理论的发展，对实际系统的控制有潜在帮助，具有多学科交叉性。

中文关键词： 非线性动力学；网络动力学；网络动力学控制；混沌同步；结构-动力学-功能关系

英文摘要： Uncovering structure-dynamics-function relations has become one of central problems in modern sciences. Since in many realistic systems, such as biological and social sciences, the interaction, exchange, and propagation of substance or information of systems usually occur on complicated media showing different topological spatial connections, the study of spatial-temporal dynamical behaviors on complex networks and further their intervention and control, i.e., manipulating only certain small amount of nodes on complex networks to realize the change of the global dynamical behaviors and their corresponding functions, are of great importance. In this project, we will focus on several typical types of network dynamics including network synchronization and cascading failure and aim to develop several novel control methods for them, on the basis of the modern control theories including the chaos control theory and engineering control theory. These methods may include precise control method for complete chaotic synchronization-desynchronization switch, frequency-parameter optimal configuration method for phase synchronization, and control strategies for cascading failure, and could be applied in some theoretical models including the power-grid model. We hope that after four year studies on this project, our research results will be of great help for not only our understanding of spatio-temporal complexity, but also control of network dynamics in some realistic systems, such as the management and prevention of blackout of electric power system.

英文关键词： nonliear dynamics;network dyanmics;control of network dynamics;chaos synchronization;structure-dynamics-function relation