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[期刊论文]

Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses

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author:

Xia, Yonghui (Xia, Yonghui.) [1] | Cao, Jinde (Cao, Jinde.) [2] | Huang, Zhenkun (Huang, Zhenkun.) [3]

Indexed by:

EI

Abstract:

In this paper, by using the contraction principle and Gronwall-Bellman's inequality, some sufficient conditions are obtained for checking the existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks (SICNNs) with impulse. Our results are essentially new. It is the first time that the existence of almost periodic solutions for the impulsive neural networks are obtained. © 2006 Elsevier Ltd. All rights reserved.

Keyword:

Asymptotic stability Cellular neural networks Chaos theory Fractals

Community:

  • [ 1 ] [Xia, Yonghui]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350002, China
  • [ 2 ] [Cao, Jinde]Department of Mathematics, Southeast University, Nanjing, 210096, China
  • [ 3 ] [Huang, Zhenkun]School of Sciences, Jimei University, Xiamen, Fujian 361021, China

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Source :

Chaos, Solitons and Fractals

ISSN: 0960-0779

Year: 2007

Issue: 5

Volume: 34

Page: 1599-1607

3 . 0 2 5

JCR@2007

5 . 3 0 0

JCR@2023

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 79

30 Days PV: 0

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