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|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Eitan Tadmor, University of Maryland|
|Abstract. We discuss self-organized dynamics of agent-based models with focus on a prototype model driven by non-symmetric self-alignment introduced in .
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.
 A new model for self-organized dynamics and its flocking behavior, J. Stat. Physics 144(5) (2011) 923-947.|
Room Reservation Information
|Date:||09 / 30 / 2013|
|Time:||02:30pm - 03:30pm|