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《Journal of Hunan University of Arts and Science(Science and Technology)》 2007-02
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Existence and Global Exponential Stability of Periodic Solutions for High-order Cellular Neural Networks with Time-varying Delays

ZHANG An-cai, FENG Guo-tao (School of Mathematical Science and Computing Technology, Central South University, Changsha Hunan 410083)  
By using coincidence degree theory, a sufficient condition is given for checking the existence of periodic solution , and by using the differential inequality technique, a new criteria was obtained on the unique and exponential stability of periodic solutions.
【CateGory Index】: O175.21
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 GUAN Zhi hong,SUN De bao,SHEN Jian jing(Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China);Qualitative Analysis of High-Order Hopfield Neural Networks[J];ACTA ELECTRONICA SINICA;2000-03
2 WANG Lei,ZHAO Hong-yong(Dept.of Math.,Xinjiang Normal Univ.,Urumqi 830054,China);Oscillation analysis of high-order cell neural networks involving variable delays[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2006-01
【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 XU Bing-ji, LIAO Xiao-xin (Dept. of Control Sci. & Eng., Huazhong University of Science and Technology, Wuhan 430074, China);Stability of Higher-Order Hopfield Type Neural Networks with Time Delays[J];Journal of Circuits and Systems;2002-01
2 XU Bing ji 1,LIAO Xiao xin 1,LIU Xin zhi 1,2 ,CHEN Qin sheng 3 (1.Dept.of Control Sci.& Eng.,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China; 2.Dept.of Applied Mathematics,University of Waterloo,Waterloo,Canada; 3.Dept.of Physics,Shandong University of Science and Technology,Zibo,Shandong 255012,China);Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks[J];Acta Electronica Sinica;2003-01
3 Xu Bingji Zhou Lun Liao Xiaoxin Liu XinzhiDept. of Control Sci. & Eng., Huazhong Univ. of Sci. and Tech., Wuhan 430074, China) (Dept. of Applied Mathematics, University of Waterloo, Waterloo, Canada);ESTIMATION OF ATTRACTION DOMAIN AND EXPONENTIAL CONVERGENCE RATE FOR HIGH ORDER HOPFIELD TYPE NEURAL NETWORKS[J];Journal of Electronics and Information Technology;2002-05
4 WANG Lei,ZHAO Hong-yong(Dept.of Math.,Xinjiang Normal Univ.,Urumqi 830054,China);Oscillation analysis of high-order cell neural networks involving variable delays[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2006-01
5 XU Bing-Ji ①, LIAO Xiao-Xin ②, and LIU Xin-Zhi ①② ①(Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074) ②(Department of Applied Mathematics, University of Waterloo, Waterloo Can;ANALYSIS OF GLOBAL EXPONENTIAL STABILITY OF SECOND ORDER NEURAL NETWORKS[J];Journal of Computer Research and Development;2002-09
6 Zhou Siwang Gao Xieping Shen Yu (College of Information and Engineering,Xiangtan University,Xiangtan411105);Approaches on Attraction Domain and Exponential Convergent Rate of High-order Hopfield Associative Memory Neural Networks with Time Delays[J];Computer Engineering and Applications;2003-32
7 ZHANG An-cai,ZHANG Wei-wei,PAN Rui-fen,LIN Xiao-yan(School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China);Global Exponential Stability of High-order Cellular Neural Networks with Time-varying Delays[J];Journal of Nantong University(Natural Science);2007-03
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 GUAN Zhi hong,SUN De bao,SHEN Jian jing(Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China);Qualitative Analysis of High-Order Hopfield Neural Networks[J];ACTA ELECTRONICA SINICA;2000-03
2 ZHAO Hong\|yong 1,2 ,WANG Guang\|lan 2 ( 1.Dept.of Math.,Nanjing Univ.,Nanjing 210093,China; 2.Dept.of Math.,Xinjiang Normal Univ.,Urumqi 830054,China) \;;Existence and global attractivity of periodic solutions for Hopfield neural networks[J];Applied Mathematics A Journal of Chinese Universities;2003-02
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