Interdisciplinary Nonlinear Dynamics 438-3:

Networks of Coupled Active Elements

Hermann Riecke & Sara Solla

Spring Quarter 2002
Meets Tue-Thu 1:30-3:00,  Tech L550

Organizational meeting:
Tuesday, April 2, 2:00, Tech L550

(first official day of TuTh classes is Thursday)


Class Web Site  Students Projects



Synchronized firing in neuronal ensembles, traveling waves in heart muscle, coherence in wide-aperture lasers, frequency locking in Josephson junction arrays; these are but a few examples of collective behavior that arises when individual active elements are coupled into large arrays. In this course we will examine the conceptual framework and mathematical and numerical tools used to analyze such networks according to the type of connectivity (global versus local) and coupling (pulse versus intensity versus phase). The course will consist of lectures followed by a project to be carried out by teams of two students each. The projects will be designed to explore a particular problem through study of seminal papers and analytical and/or numerical investigation of some of its aspects.

a) Spiral waves in oscillatory medium   b) discrete network of excitatory and inhibitory elements

Prerequisites: Interdisciplinary Nonlinear Dynamics 438-1 or equivalent (see instructors)

Questions? Please contact:
     
Hermann Riecke                 Sara Solla
Room M458Room F322
(847) 491-8316 (847) 467-5080
h-riecke@northwestern.edu solla@northwestern.edu
Information on this and other courses on the dynamics of complex systems can be found at
http://www.complex-systems.northwestern.edu/