| 引用本文: | 赵洪涌,袁静岚,胡文.时滞控制神经网络的稳定性和Turing斑图结构[J].控制理论与应用,2013,30(3):288~298.[点击复制] |
| ZHAO Hong-yong,YUAN Jing-lan,HU Wen.Time-delay control of stability and Turing pattern structures of neural networks[J].Control Theory and Technology,2013,30(3):288~298.[点击复制] |
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| 时滞控制神经网络的稳定性和Turing斑图结构 |
| Time-delay control of stability and Turing pattern structures of neural networks |
| 摘要点击 9091 全文点击 22446 投稿时间：2012-07-20 修订日期：2012-10-02 |
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| DOI编号 10.7641/CTA.2013.20806 |
| 2013,30(3):288-298 |
| 中文关键词 稳定性 Hopf分岔 Turing不稳定性 反应扩散 时滞神经网络 |
| 英文关键词 stability Hopf bifurcation Turing instability reaction-diffusion neural networks with delays |
| 基金项目 国家自然科学基金面上基金资助项目(61174155); 国家自然科学基金重点基金资助项目(11032009). |
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| 中文摘要 |
| 本文讨论了一类时滞反应扩散神经网络模型. 利用时滞来控制系统的稳定性、分岔和Turing斑图. 研究结果表明, 在一定条件下, 时滞不仅能影响系统的稳定性和周期震荡性, 还能影响系统的Turing不稳定性. 数值模拟验证了理论分析的正确性, 同时还说明了时滞能改变斑图的结构. |
| 英文摘要 |
| This paper discusses a class of reaction-diffusion neural networks model. The stability, bifurcation and Turing pattern are studied by using the time-delay. The theoretical analysis shows that the time-delay can affect not only the stability and periodicity, but also affects Turing instability. Numerical simulations are given to illustrate the effectiveness of the analytical results and validate the alteration of Turing pattern structures by the time-delay. |