April  2001, 7(2): 397-401. doi: 10.3934/dcds.2001.7.397

Resynchronization of delayed neural networks

1. 

Department of Mathematics, Pace University, Pleasantville, NY 10570, United States

Revised  November 2000 Published  January 2001

We consider a network of identical neurons whose dynamics is governed by a system of differential delay equations. We study the stability of the slowly oscillatory synchronous periodic solution for such systems. We obtain sufficient conditions on the interconnection matrix under which the linearized system has a Floquet multiplier greater than 1, and thus the slowly oscillatory synchronous periodic solution is unstable.
Citation: Ying Sue Huang. Resynchronization of delayed neural networks. Discrete & Continuous Dynamical Systems - A, 2001, 7 (2) : 397-401. doi: 10.3934/dcds.2001.7.397
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