Dynamics of flocking models with two species

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dc.contributor.authorZhao, Qingjian
dc.contributor.authorShi, Shaoyun
dc.contributor.authorLi, Wenlei
dc.date.accessioned2022-11-07T14:35:08Z
dc.date.available2022-11-07T14:35:08Z
dc.date.issued2021-12-30
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhao, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16286
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFlocking dynamics
dc.subjectDiscrete model
dc.subjectLaSalle invariance principle
dc.subjectInvariant manifold
dc.titleDynamics of flocking models with two species
dc.typeArticle

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