Analysis of the Emergence in Swarm Model Based on Largest Lyapunov Exponent
Joint Authors
Tianfield, Huaglory
Tang, Hong
Su, Jie
Wu, Yu
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-05
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Emergent behaviors of collective intelligence systems, exemplified by swarm model, have attracted broad interests in recent years.
However, current research mostly stops at observational interpretations and qualitative descriptions of emergent phenomena and is essentially short of quantitative analysis and evaluation.
In this paper, we conduct a quantitative study on the emergence of swarm model by using chaos analysis of complex dynamic systems.
This helps to achieve a more exact understanding of emergent phenomena.
In particular, we evaluate the emergent behaviors of swarm model quantitatively by using the chaos and stability analysis of swarm model based on largest Lyapunov exponent.
It is concluded that swarm model is at the edge of chaos when emergence occurs, and whether chaotic or stable at the beginning, swarm model will converge to stability with the elapse of time along with interactions among agents.
American Psychological Association (APA)
Wu, Yu& Su, Jie& Tang, Hong& Tianfield, Huaglory. 2011. Analysis of the Emergence in Swarm Model Based on Largest Lyapunov Exponent. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-495312
Modern Language Association (MLA)
Wu, Yu…[et al.]. Analysis of the Emergence in Swarm Model Based on Largest Lyapunov Exponent. Mathematical Problems in Engineering No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-495312
American Medical Association (AMA)
Wu, Yu& Su, Jie& Tang, Hong& Tianfield, Huaglory. Analysis of the Emergence in Swarm Model Based on Largest Lyapunov Exponent. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-495312
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495312