Date
Mon, 10 Oct 2005
17:00
Location
L1
Speaker
Martin Golubitsky
Organisation
University of Houston
A coupled cell system is a collection of interacting dynamical systems.
Coupled cell models assume that the output from each cell is important and that signals from two or more cells can be compared so that patterns of synchrony can emerge. We ask: How much of the qualitative dynamics observed in coupled cells is the product of network architecture and how much depends on the specific equations?

The ideas will be illustrated through a series of examples and theorems. One theorem classifies spatio-temporal symmetries of periodic solutions and a second gives necessary and sufficient conditions for synchrony in terms of network architecture.
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