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《ACTA ELECTRONICA SINICA》 2000-01
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Stability of Hopfield Neural Networks with Reaction-diffusion Terms

LIAO Xiao-xin1, FU Yu-li,GAO Jian1,ZHAO Xin-quan2 (1. Department of Control Science and Engineering,Huazhong University of Science and Technology Wuhan 430074;2. Department of Mathematics Huazhong Nationalities College Wuhan 430074 China)  
In this paper,we construct a kind of even type Lyapunov functions to study globally asymptotic and locally asymptotic stability of equilibrium of more general Hopfield neural networks with reaction-diffusion terms. Since the diffusion Phenomena could not be ignored in neural networks and electric circuits,the model Presented here is more closed to the actual systems,and the we got cover the most of new results in the world.
【Fund】: 国家自然科学基金!(NO.69877016);; 高等学校博士学科点专项基金(NO.97048722)资助课题;“973”国家重点
【CateGory Index】: TP183
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