Convergence results for two models of interaction
Description
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.
Details
Contributors
- Theisen, Ryan (Author)
- Motsch, Sebastien (Thesis advisor)
- Lanchier, Nicholas (Committee member)
- Kostelich, Eric (Committee member)
- Arizona State University (Publisher)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2018
Topical Subject
Resource Type
Language
- eng
Note
- thesisPartial requirement for: M.A., Arizona State University, 2018
- bibliographyIncludes bibliographical references (page 23)
- Field of study: Mathematics
Citation and reuse
by Ryan Theisen
Additional Information
English
Extent
- v, 23 pages : illustrations (some color)