一类具有脉冲的时滞神经网络模型周期解的存在性和稳定性

Existence and Stability of Periodic Solutions in Delayed Cellular Neural Networks with Impulses

中文关键词:  神经网络  周期解  指数稳定性  时滞  脉冲.

英文关键词:neural networks  periodic solution  exponential stability  delay  impulses.

中文摘要:

      利用重合度理论, H\"{o}lder不等式和一些分析的技巧, 讨论了一类具有脉冲的时滞神经网络模型周期解的存在性和全局指数稳定性, 获得了这类问题周期解的存在性和全局指数稳定性较简便的判别条件. 一个例子也说明了我们所获得的结果是有效的.

英文摘要:

      By using the continuation theorem of Mawhin's coincidence degree theory, H\"{o}lder inequality and some analysis techniques, some effective results are obtained ensuring existence and global exponential stability of periodic solutions in delayed cellular neural networks with impulses. An illustrative example is given to demonstrate the effectiveness of the obtained results.