Complex analysis of anisotropic swarms with Gaussian profiles

Authors:
Bo Liu;Haili Liang;Jie Zhang;Huan Li
Affiliations:
College of Science, North China University of Technology, Beijing, P. R. China;College of Science, North China University of Technology, Beijing, P. R. China;College of Science, North China University of Technology, Beijing, P. R. China;College of Science, North China University of Technology, Beijing, P. R. China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

Citing 3
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Abstract

This paper considers an M-member "individual-based" continuous time swarm model with individuals moving with a nutrient profile (or an attractant/repellent) in an n-dimensional space. It is proved that the swarm members aggregate and eventually form a cohesive cluster of finite size for Gaussian Profiles. Moreover, all the swarm members will converge to more favorable areas of the Gaussian profile under certain conditions.