Coupled Systems: Theory and Examples

10 October 2005
Martin Golubitsky
A coupled cell system is a collection of interacting dynamical systems.<br> 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?<br> <br> 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.
  • Applied Analysis and Mechanics Seminar