摘要The chaotification of discrete Hopfield neural networks is studied with impulsive control techniques. No matter whether the original systems are stable or not, chaotification theorems for discrete Hopfield neural networks are derived, respectively. Finally, the effectiveness of the theoretical results is illustrated by some numerical examples.
Abstract：The chaotification of discrete Hopfield neural networks is studied with impulsive control techniques. No matter whether the original systems are stable or not, chaotification theorems for discrete Hopfield neural networks are derived, respectively. Finally, the effectiveness of the theoretical results is illustrated by some numerical examples.
LIU Na;GUAN Zhi-Hong. The chaotification of discrete Hopfield neural networks via impulsive control[J]. 中国物理快报, 2009, 26(7): 70503-070503.
LIU Na, GUAN Zhi-Hong. The chaotification of discrete Hopfield neural networks via impulsive control. Chin. Phys. Lett., 2009, 26(7): 70503-070503.
[1] Zhou Q et al 2008 Chin. Phys. Lett. 25 3169 [2] Zhang X D et al 2008 Chin. Phys. Lett. 25 397 [3] Ren H P and Liu D 2002 Chin. Phys. Lett. 191054 [4] Wang X F, Chen G R and Yu X 2000 Chaos 10 771 [5] Chen G R 2003 International Conference Physics andControl (St. Petersburg, Russia 20--22 August 2003) p 468 [6] Lu J H et al 2003 IEEE Trans. Circuits Syst. I 50 198 [7] Zheng Z et al 2004 Chaos, Solitons and Fractals 20 277 [8] Suykens J A K and Vandewalle J 1993 IEEE Trans.Circuits Syst. I 40 861 [9] Yang L et al 2002 Int. J. Bifur. Chaos 12 1121 [10] Cao J D 1999 Phys. Lett. A 261 303 [11] Arik S 2005 Chaos, Solitons and Fractals 261407 [12] Singh V 2004 IEEE Trans. Neural Networks 15223 [13] Zhao H 2004 Neural Networks 17 47 [14] Park J H et al 2007 Chaos, Solitons and Fractals 33 436 [15] Yang X S and Huang Y 2006 Chaos 16 033114 [16] Yang X S and Yuan Q 2005 Neurocomputing 69232 [17] Li Q D and Yang X S 2007 Advances in NeuralNetworks (Berlin: Springer) p 96 [18] Yuan Q, Li Q D and Yang X S 2007 Chaos, Solitonsand Fractals 39 1522 [19] Bersini H and Sener P 2002 Neural Networks 151197 [20] Guan Z H et al 2002 IEEE Trans. Circuits Syst. I 49 1198 [21] Benzaid Z and Sznaier M 1994 IEEE Trans. Automat.Control 39 1064 [22] Leela S et al 1993 J. Math. Anal. Appl. 17724 [23] Wang C J and Liao H E 2001 Automatica 37 1867 [24] Li Z G et al 2001 IEEE Trans. Automat. Control 46 894 [25] Bainov D D and Simeonov P S 1989 System withImpulse Effect: Stability, Theory and Applications (New York:Halsted) chap 3 p 255 [26] Lakshmikantham V et al 1993 Stability Analysis inTerms of Two Measures (New York: World Scientific)
2009, Vol. 26 
