Existence of periodic solution for competitive neural networks with time-varying and distributed delays on time scales

Authors:
Yang Liu;Yongqing Yang;Tian Liang;Xianyun Xu
Affiliations:
Key Laboratory of Advanced Process Control for Light Industry, (Ministry of Education), School of Science, Jiangnan University, Wuxi, P.R. China;Key Laboratory of Advanced Process Control for Light Industry, (Ministry of Education), School of Science, Jiangnan University, Wuxi, P.R. China;Key Laboratory of Advanced Process Control for Light Industry, (Ministry of Education), School of Science, Jiangnan University, Wuxi, P.R. China;Key Laboratory of Advanced Process Control for Light Industry, (Ministry of Education), School of Science, Jiangnan University, Wuxi, P.R. China
Venue:
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
Year:
2013

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Abstract

In this paper, under the condition without assuming the boundedness of the activation functions, the competitive neural networks with time-varying and distributed delays are studied. By means of contraction mapping principle, the existence and uniqueness of periodic solution are investigated on time scales.