冯念， 吴晔^*

（  北京邮电大学理学院,北京,100876；  ）

论文发表摘要： 同步是指两个或两个以上随时间变化的量在变化过程中最终保持一定的相对关系。在过去的研究中，人们较多的研究了完全同步等。在许多实际的网络中，经常需要在同一时间内完成几个不同的功能，也就是意味着网络最后达到不同的状态，即集群同步状态。集群同步是指整个网络中所有的节点被分为不同的集群，在同一个集群内的节点之间同步，但是不同集群间的节点之间不存在同步。本文通过自适应耦合的方式，针对不同的耦合振子系统达到集群同步的动力学过程--无向耦合谐振子系统、有向耦合谐振子系统和带有时间延迟的耦合谐振子系统--分析研究了他们的动力学过程。通过对三种系统的仿真模拟，得出了影响集群同步速率的因素，同时对于时间延迟有了更深的理解。
关键词： 理论物理；集群同步；自适应耦合；时间延迟；有向网络

Feng Nian， Wu Ye^*

（  School of Science,Beijing University of Posts and Telecommunications,Beijing 100876；  ）

Abstract： Synchronization means that two or more than two time-varying quantities eventually remain relatively relationships in the process of change. In the past research, There are more study with complete synchronization etc. In many practical networks, the system often need to perform several different functions at the same time, which means that the network finally reach different states, namely the cluster synchronization.Cluster synchronization refers to all the nodes in the entire network is divided into different clusters, and the synchronization occurs within the nodes in the same cluster, but there are not synchronization within the nodes of different clusters.In this paper, we raise network analysis of different dynamics coupled harmonic oscillators to reach cluster synchronization, which are the undirected coupled harmonic oscillator system, the directed coupled harmonic oscillator system and the coupled harmonic oscillator with time delay.Through the simulation of three kinds of system simulation, we obtain the influence factors of cluster synchronization rate, and have a deeper understanding of time delay..
Keywords： Theoretical physics；cluster synchronization; Adaptive coupling; Time delay; Directed Network

 

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