"Topological models of emergent dynamics"

"Topological models of emergent dynamics"

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Roman Shvydkoy, UIC
Fine Hall 322

In this talk we will introduce a new class of collective behavior models based on Cucker-Smale dynamics. The main feature of these models is emergence of global alignment through purely local communication protocol between  agents. The novel mechanism of alignment is based upon inclusion of a topological component into diffusion making it adaptive to changing environment around interacting agents. We highlight some challenges that arise in the problem of global well-posendess for this new class of equations and discuss stability of flocks.