PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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 Link:http://www.cscamm.umd.edu/tadmor/
Abstract:
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
Date:09 / 30 / 2013
Time:02:30pm - 03:30pm