Resynchronization of delayed neural networks

Ying Sue Huang

doi:10.3934/dcds.2001.7.397

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2001, Volume 7, Issue 2: 397-401. Doi: 10.3934/dcds.2001.7.397

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Resynchronization of delayed neural networks

Ying Sue Huang^1,

1.
Department of Mathematics, Pace University, Pleasantville, NY 10570

Revised: October 31, 2000

Published: March 2000

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Abstract

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.

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Mathematics Subject Classification: 34K15, 92B20.

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