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.

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