NDLI: Stability and Hopf bifurcation analysis in a delay Swarms model

Content Provider	IEEE Xplore Digital Library
Author	Liu Feng Yin Xiang Ling Guang Guan Zhi-Hong Wang, O.H.
Copyright Year	2015
Description	Author affiliation: Dept. of Mech. Eng., Boston Univ., Boston, MA, USA (Wang, O.H.) \|\| Sch. of Autom., China Univ. of Geosci., Wuhan, China (Liu Feng; Yin Xiang) \|\| Coll. of Autom., Huazhong Univ. of Sci. & Technol., Wuhan, China (Ling Guang; Guan Zhi-Hong)
Abstract	In this paper, the problem of Hopf bifurcation for a swarm model of self-propelled agents in the presence of noise and communication time delay is studied. When the value of delayed communication time passes through a critical value, Hopf bifurcation will occur, where the center of mass undergoes a Hopf bifurcation from steady state to a limit cycle, the swarm is transformed from a misaligned state into an aligned state. Using a mean field model, we prove the existence of bifurcation and gave the existence conditions of bifurcation. Numerical results have been presented to verify the theoretical results.
Starting Page	1049
Ending Page	1053
File Size	692298
Page Count	5
File Format	PDF
ISBN	9789881563897
ISSN	19341768
DOI	10.1109/ChiCC.2015.7259778
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Technical Committee on Control Theory, Chinese Association of Automation
Subject Keyword	Analytical models Control Swarm model Stability Delay effects Bifurcation Control systems Stability analysis Mathematical model Hopf bifurcation Numerical stability
Content Type	Text
Resource Type	Article

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