abstract: I investigate two models interacting agent systems: the first is motivated by the flocking and swarming behaviors in biological systems, while the second models opinion formation in social networks. In each setting, I define natural notions of convergence (to a ``flock" and to a ``consensus'', respectively), and study the convergence properties of each in the limit as $t \rightarrow \infty$. Specifically, I provide sufficient conditions for the convergence of both of the models, and conduct numerical experiments to study the resulting solutions. / Dissertation/Thesis / Masters Thesis Mathematics 2018
| Identifer | oai:union.ndltd.org:asu.edu/item:51785 |
| Date | January 2018 |
| Contributors | Theisen, Ryan (Author), Motsch, Sebastien (Advisor), Lanchier, Nicholas (Committee member), Kostelich, Eric (Committee member), Arizona State University (Publisher) |
| Source Sets | Arizona State University |
| Language | English |
| Detected Language | English |
| Type | Masters Thesis |
| Format | 29 pages |
| Rights | http://rightsstatements.org/vocab/InC/1.0/ |
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