New discrete analogue of neural networks with nonlinear amplification function and its periodic dynamic analysis

Xilin Fu; Zhang Chen

doi:10.3934/proc.2007.2007.391

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2007, Volume 2007: 391-398. Doi: 10.3934/proc.2007.2007.391 open access

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New discrete analogue of neural networks with nonlinear amplification function and its periodic dynamic analysis

Xilin Fu^1, and
Zhang Chen²

1.
School of Mathematical Science, Shandong Normal University, Jinan, Shandong 250014, P.R.
2.
School of Mathematics and System Sciences, Shandong University, Jinan, Shandong, 250100, P. R.

Received: August 31, 2006

Revised: May 31, 2007

Published: August 2007

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Abstract

In this paper, new discrete analogue of a class of neural networks with nonlinear amplification function is obtained by analysis and approximation techniques. Using continuation theorem of coincidence degree theory, periodic solution for discrete model is studied, and sufficient condition is given to guarantee the existence of periodic solution. Moreover, global stability on periodic solution is investigated by Lyapunov method.

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Mathematics Subject Classification: 39A10, 39A11.

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