Dynamics of flocking models with two species
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Date
2021-12-30
Authors
Zhao, Qingjian
Shi, Shaoyun
Li, Wenlei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article studies the flocking behavior of self-organized agents in two species. First, referring to the work of Olfati-Saber and the classical Cucker-Smale model, we establish a discrete system describing the flocking dynamic of the agents in two species. Second, by using the LaSalle's invariance principle, we show that the system with global interaction will achieve unconditional time-asymptotic flocking, and the system with local interaction has a time-asymptotic flocking under certain assumptions. Moreover, we investigate the local asymptotic stability of a class of flocking solutions. Finally, some numerical simulations and qualitative results are presented.
Description
Keywords
Flocking dynamics, Discrete model, LaSalle invariance principle, Invariant manifold
Citation
Zhao, Q., Shi, S., & Li, W. (2021). Dynamics of flocking models with two species. <i>Electronic Journal of Differential Equations, 2021</i>(104), pp. 1-24.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.