flockingwithgenerallocalinteractionandlargepopulation

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	flockingwithgenerallocalinteractionandlargepopulation
	Chen Ge; Liu Zhixin
	2019-01-01
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	32 期号:6 页码:1498-1525
摘要	This paper studies a flocking model in which the interaction between agents is described by a general local nonlinear function depending on the distance between agents.The existing analysis provided sufficient conditions for flocking under an assumption imposed on the system's closed-loop states;however this assumption is hard to verify.To avoid this kind of assumption the authors introduce some new methods including large deviations theory and estimation of spectral radius of random geometric graphs.For uniformly and independently distributed initial states, the authors establish sufficient conditions and necessary conditions for flocking with large population.The results reveal that under some conditions, the critical interaction radius for flocking is almost the same as the critical radius for connectivity of the initial neighbor graph.
收录类别	CSCD
语种	英语
CSCD记录号	CSCD:6663746
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51278
专题	中国科学院数学与系统科学研究院
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	Chen Ge,Liu Zhixin. flockingwithgenerallocalinteractionandlargepopulation[J]. journalofsystemsscienceandcomplexity,2019,32(6):1498-1525.
APA	Chen Ge,&Liu Zhixin.(2019).flockingwithgenerallocalinteractionandlargepopulation.journalofsystemsscienceandcomplexity,32(6),1498-1525.
MLA	Chen Ge,et al."flockingwithgenerallocalinteractionandlargepopulation".journalofsystemsscienceandcomplexity 32.6(2019):1498-1525.