| EXISTENCE OF PERIODIC SOLUTIONS FOR A DISCRETE-TIME MODEL OF TWO-CELL CNNS |
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| 作者姓名： | Xiong Peiying Li Xuemei |
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| 作者单位： | Dept. of Math，and Computer Science，Hunan City University，Yiyang 413049; College of Math，and Computer Science，Hunan Normal University，Changsha 410081 |
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| 基金项目： | This work was supported by National Natural Science Foundation of China (10371034). |
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| 摘 要： | We investigate a class of discrete-time model of two-cell cellular neural networks with symmetric template. By using the Lyapunov direct method, La-Salle's invariance principle, we discuss the existence and the stability of periodic solutions. The model considered has attractive 2-periodic and unstable 2-periodic solutions.
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EXISTENCE OF PERIODIC SOLUTIONS FOR A DISCRETE-TIME MODEL OF TWO-CELL CNNS |
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| Xiong Peiying Li Xuemei.EXISTENCE OF PERIODIC SOLUTIONS FOR A DISCRETE-TIME MODEL OF TWO-CELL CNNS[J].微分方程年刊(英文版),2006(3). |
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| Authors: | Xiong Peiying Li Xuemei |
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| Abstract: | We investigate a class of discrete-time model of two-cell cellular neural networks with symmetric template. By using the Lyapunov direct method, La-Salle's invariance principle, we discuss the existence and the stability of periodic solutions. The model considered has attractive 2-periodic and unstable 2-periodic solutions. |
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| Keywords: | difference system cellular neural network periodicity |
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