For more information about this meeting, contact Fei Wang, Hope Shaffer, Toan Nguyen, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov.
| Title: | CONSENSUS and FLOCKING in SELF-ALIGNMENT DYNAMICS |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Eitan Tadmor, University of Maryland |
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| Abstract Link: | http://www.cscamm.umd.edu/tadmor/ |
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| Abstract: |
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| Abstract. We discuss self-organized dynamics of agent-based models with focus on a prototype model driven by non-symmetric self-alignment introduced in [1].
Unconditional consensus and flocking emerge when the self-alignment is driven by global interactions with a sufficiently slow decay rate. In more realistic models, however, the interaction of self-alignment is compactly supported, and open questions arise regarding the emergence of clusters/flocks/consensus, which are related to the propagation of connectivity of the underlying graph.
In particular, we discuss heterophilious self-alignment: here, the pairwise interaction between agents increases with the diversity of their positions and we assert that this diversity enhances flocking/consensus. The methodology carries over from agent-based to kinetic and hydrodynamic descriptions.
[1] A new model for self-organized dynamics and its flocking behavior, J. Stat. Physics 144(5) (2011) 923-947. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 09 / 30 / 2013 |
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| Time: | 02:30pm - 03:30pm |
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