[Crib-list] Friday, October 6, 2006 -- COMPUTATIONAL RESEARCH IS BOSTON SEMINAR

[Shirley Entzminger]

 		COMPUTATIONAL RESEARCH in BOSTON SEMINAR


DATE:		FRIDAY, OCTOBER 6, 2006
TIME:		12:30 PM
LOCATION:	Building 32, Room 144 (Stata Center)

Pizza and beverages will be provided.


Title:		COUPLED SYSTEMS: THEORY AND EXAMPLES


Speaker:	MARTIN GOLUBITSKY (University of Houston)


ABSTRACT:

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 
example shows how a frequency filter / amplifier can be built from a small 
three-cell feed forward network; and a second illustrates patterns of synchrony 
in lattice dynamical systems.  One theorem gives necessary and sufficient 
conditions for synchrony in terms of network architecture; and a second shows 
that synchronous dynamics may itself be viewed as dynamics in a coupled cell 
system through a quotient construction.

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Massachusetts Institute of Technology
Cambridge, MA  02139


http://www-math.mit.edu/crib
For information on CRiB, contact:

Alan Edelman:  edelman at math.mit.edu
Steven G. Johnson:  stevenj at math.mit.edu
Jeremy Kepner:  kepner at ll.mit.edu