[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