A generalized model of flocking with steering

dc.contributor.authorDjokam, Guy A.
dc.contributor.authorRathinam, Muruhan
dc.date.accessioned2021-03-10T18:42:40Z
dc.date.available2021-03-10T18:42:40Z
dc.date.issued2021-02-07
dc.description.abstractWe introduce and analyze a model for the dynamics of flocking and steering of a finite number of agents. In this model, each agent's acceleration consists of flocking and steering components. The flocking component is a generalization of many of the existing models and allows for the incorporation of many real world features such as acceleration bounds, partial masking effects and orientation bias. The steering component is also integral to capture real world phenomena. We provide rigorous sufficient conditions under which the agents flock and steer together. We also provide a formal singular perturbation study of the situation where flocking happens much faster than steering. We end our work by providing some numerical simulations to illustrate our theoretical results.en_US
dc.description.urihttps://arxiv.org/abs/2102.03862en_US
dc.format.extent32 pagesen_US
dc.genrejournal articles preprintsen_US
dc.identifierdoi:10.13016/m2m9hq-n5zu
dc.identifier.citationDjokam, Guy A.; Rathinam, Muruhan; A generalized model of flocking with steering; Dynamical Systems (2021); https://arxiv.org/abs/2102.03862en_US
dc.identifier.urihttp://hdl.handle.net/11603/21149
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.titleA generalized model of flocking with steeringen_US
dc.typeTexten_US

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