paper available on synchrony and desynchrony in oscillator an oscillator network

[shannon roy campbell]

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The file campbell.wc_oscillators.ps.Z (34 pages) is now 
available for copying from the Neuroprose repository. 
Contact shannon at cis.ohio-state.edu for retrieval problems.

          
           Synchronization and Desynchronization in a 
        Network of Locally Coupled Wilson-Cowan Oscillators

            by Shannon Campbell and DeLiang Wang~
               Dept. of Physics 
              ~Dept. of Computer and Information Science
               Ohio State University
               Columbus, Ohio 43210-1277

Abstract - 
   A network of Wilson-Cowan oscillators is constructed, and its
emergent properties of synchronization and desynchronization are 
investigated by both computer simulation and formal analysis. The 
network is a two-dimensional matrix where each oscillator is
coupled only to its neighbors. We show analytically that a chain of
locally coupled oscillators (the piece-wise linear approximation to 
the Wilson-Cowan oscillator) synchronizes, and present a technique 
to rapidly entrain finite numbers of oscillators. The coupling
strengths change on a fast time scale based on a Hebbian rule. A
global separator is introduced which receives input from and sends 
feedback to each oscillator in the matrix. The global separator is 
used to desynchronize different oscillator groups. Unlike many 
other models, the properties of this network emerge from local 
connections, that preserve spatial relationships among components 
and are critical for encoding Gestalt principles of feature 
grouping. The ability to synchronize and desynchronize oscillator
groups within this network offers a promising approach for pattern 
segmentation and figure/ground segregation based on oscillatory
correlation. 

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