Connectivity and synchronization of Vicsek model

CSpace > 系统科学研究所

	Connectivity and synchronization of Vicsek model
	ZhiXin Liu; Lei Guo
	2008
发表期刊	Science in China. Series F: Information Sciences
ISSN	1009-2757
卷号	51 期号:7 页码:848
摘要	The collective behavior of multi-agent systems is an important studying point for the investigation of complex systems, and a basic model of multi-agent systems is the so called Vicsek model, which possesses some key features of complex systems, such as dynamic behavior, local interaction, changing neighborhood, etc. This model looks simple, but the nonlinearly coupled relationship makes the theoretical analysis quite complicated. Jadbabaie et al. analyzed the linearized heading equations in this model and showed that all agents will synchronize eventually, provided that the neighbor graphs associated with the agents’ positions satisfy a certain connectivity condition. Much subsequent research effort has been devoted to the analysis of the Vicsek model since the publication of Jadbabaie’s work. However, an unresolved key problem is when such a connectivity is satisfied. This paper given a sufficient condition to guarantee the synchronization of the Vicsek model, which is imposed on the model parameters only. Moreover, some counterexamples are given to show that the connectivity of the neighbor graphs is not sufficient for synchronization of the Vicsek model if the initial headings are allowed to be in 0, 2π), which reveals some fundamental differences between the Vicsek model and its linearized version.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6995
专题	系统科学研究所国家数学与交叉科学中心
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	ZhiXin Liu,Lei Guo. Connectivity and synchronization of Vicsek model[J]. Science in China. Series F: Information Sciences,2008,51(7):848.
APA	ZhiXin Liu,&Lei Guo.(2008).Connectivity and synchronization of Vicsek model.Science in China. Series F: Information Sciences,51(7),848.
MLA	ZhiXin Liu,et al."Connectivity and synchronization of Vicsek model".Science in China. Series F: Information Sciences 51.7(2008):848.