Resynchronization of delayed neural networks

Ying Sue Huang · Discrete and Continuous Dynamical Systems · 2001

We consider a network of identicalneurons whose dynamics is governed by a system of differentialdelay equations. We study the stability of the slowly oscillatorysynchronous periodic solution for such systems. We obtainsufficient conditions on the interconnection matrix under whichthe linearized system has a Floquet multiplier greater than 1,and thus the slowly oscillatory synchronous periodic solution isunstable.

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