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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 170968, 12 pages
Research Article

Modeling and Simulation of Synchronous Threshold in Vent Collective Behavior

1School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China
2Statistic College, Hubei University of Economics, Wuhan 430205, China

Received 10 January 2014; Revised 15 April 2014; Accepted 16 April 2014; Published 15 May 2014

Academic Editor: Manuel De la Sen

Copyright © 2014 Yaofeng Zhang and Renbin Xiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


With the strengthening of the social contradiction, the outbreak of vent collective behavior tends to be frequent. The essence of vent collective behavior is emergence of synchronization. In order to explore the threshold of consensus synchronization in vent collective behavior, a mathematic model and a corresponding simulation model based on multi-agent are proposed. The results of analysis by mean field theory and simulation experiments show the following. (1) There is a threshold Kc for consensus synchronization in global-coupling and homogeneous group, and when the system parameter K is greater than Kc, consensus synchronization emerge. Otherwise the system cannot achieve synchronization. The conclusion is verified by further study of multiagent simulation. (2) Compared with the global-coupling situation, the process of synchronization is delayed in local-coupling and homogeneous group. (3) For local-coupling and heterogeneous group, consensus dissemination can achieve synchronization only when the effects of the parameters meet the threshold requirements of consensus synchronization.