Small Noise May Diversify Collective Motion in Vicsek Model

doi:10.1109/TAC.2016.2560144

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	Small Noise May Diversify Collective Motion in Vicsek Model
	Chen, Ge1,2
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2017-02-01
卷号	62 期号:2 页码:636-651
关键词	Collective motion heterogeneous multi-agent system robust consensus self-propelled particles Vicsek model
ISSN号	0018-9286
DOI	10.1109/TAC.2016.2560144
英文摘要	Natural systems are inextricably affected by noise. Within recent decades, the manner in which noise affects the collective behavior of self-organized systems, specifically, has garnered considerable interest from researchers and developers in various fields. To describe the collective motion of multiple interacting particles, Vicsek et al. proposed a well-known self-propelled particle (SPP) system, which exhibits a second-order phase transition from disordered to ordered motion in simulation; due to its non-equilibrium, randomness, and strong coupling nonlinear dynamics, however, there has been no rigorous analysis of such a system to date. To decouple systems consisting of deterministic laws and randomness, we propose a general method which transfers the analysis of these systems to the design of cooperative control algorithms. In this study, we rigorously analyzed the original Vicsek model under both open and periodic boundary conditions for the first time, and developed extensions to heterogeneous SPP systems (including leader-follower models) using the proposed method. Theoretical results show that SPP systems switch an infinite number of times between ordered and disordered states for any noise intensity and population density, which implies that the phase transition indeed takes a nontraditional form. We also investigated the robust consensus and connectivity of these systems. Moreover, the findings presented in this paper suggest that our method can be used to predict possible configurations during the evolution of complex systems, including turn, vortex, bifurcation, and flock merger phenomena as they appear in SPP systems.
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000395510600009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/24721]
专题	系统科学研究所
通讯作者	Chen, Ge
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Ge. Small Noise May Diversify Collective Motion in Vicsek Model[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(2):636-651.
APA	Chen, Ge.(2017).Small Noise May Diversify Collective Motion in Vicsek Model.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(2),636-651.
MLA	Chen, Ge."Small Noise May Diversify Collective Motion in Vicsek Model".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.2(2017):636-651.