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从复杂网络的动态夹带中产生的无尺度拓扑

Scale-free topologies emerging from a dynamical entrainment of a complex network
课程网址: http://videolectures.net/eccs08_boccaletti_sftefade/  
主讲教师: Stefano Boccaletti
开课单位: 国家应用光学研究所
开课时间: 2008-10-17
课程语种: 英语
中文简介:
我证明了非同步库本振荡器网络的拓扑结构和动力学可以通过一种强迫机制来同时控制,该机制使振荡器与外部起搏器的相位锁定与网络的度分布的重塑有关。夹带机制的基础是,在有规律的时间间隔内,从遵循起搏器动力学的振荡器向原始图中相位具有规定相位关系的振荡器添加单向链接。这种依附过程中基于动态的规则,使得当网络被卷入起搏器的动态时,在图的最终度分布中就会出现幂律形状。我证明了一个无标度分布的唤醒与携带过程的成功有关是一个鲁棒的特征,它表征了不同网络的初始配置和参数。
课程简介: I show that the topology and dynamics of a network of unsynchronized Kuramoto oscillators can be simultaneously controlled by means of a forcing mechanism which yields a phase locking of the oscillators to that of an external pacemaker in connection with the reshaping of the network's degree distribution. The entrainment mechanism is based on the addition, at regular time intervals, of unidirectional links from oscillators that follow the dynamics of a pacemaker to oscillators in the pristine graph whose phases hold a prescribed phase relationship. Such a dynamically based rule in the attachment process leads to the emergence of a power-law shape in the final degree distribution of the graph whenever the network is entrained to the dynamics of the pacemaker. I show that the arousal of a scale-free distribution in connection with the success of the entrainment process is a robust feature, characterizing different network's initial configurations and parameters.
关 键 词: 非同步库本振荡器网络的拓扑结构; 振荡器; 相位锁定; 夹带机制; 起搏器动力学; 动态规则
课程来源: 视频讲座网公开课
最后编审: 2019-05-26:cwx
阅读次数: 71