Consensus and flocking: self-organized dynamics from
particle to hydrodynamic descriptions
March 21, 2012
3:00pm SEC 104
Abstract
Self-organized dynamics is driven by "rules of engagement",
which describe how each agent interacts with its neighbors. They consist of
long-term attraction, mid-range alignment and short-range repulsion. Many
self-propelled models are driven by the balance between these three forces,
which yield emerging structures of interest. Examples range from consensus
of voters to flocking of birds.
We discuss particle-based models for self-organized dynamics, with a focus
on a prototype model driven by non-symmetric self-alignment. We explain the
emergence of consensus and unconditional flocking when the interactions
decay is sufficiently slow. When the self-alignment is compactly supported,
then there are open questions regarding clustering and the emerging
consensus in heterophily dynamics. These questions are linked to the
connectivity of the underlying graph. The methodology carries over from
particle to kinetic and hydrodynamic descriptions.
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