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Pattern formation in coupled cell systems

Golubitsky, M (Houston)
Thursday 04 August 2005, 17:00-18:00


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 show that patterns of synchrony in planar lattice dynamical systems can be very complicated, but that they are all spatially doubly periodic if enough coupling is assumed.


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