四元中立型时滞神经网络模型周期解  

Periodic Solutions of a Four Neutral Neurons Network with Time Delay

作　　者：张子振[1] 门秀萍[1] 段爱华[1] ZHANG Zi-zhen;MEN Xiu-ping;DUAN Ai-hua(School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《滨州学院学报》2020年第4期47-53,共7页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(12001001);安徽省高校优秀青年人才支持计划项目(gxyqZD2018044);安徽省高校自然科学研究重点项目(KJ2019A0655,KJ2019A0656,KJ2019A0662,KJ2020A0002)。

摘　　要：研究一类四元中立型时滞神经网络模型。以模型神经之间的传输时滞为分岔参数,利用特征值法得到模型产生分岔周期解的充分条件。并利用中心流形定理和规范型理论推导出模型周期解稳定性和周期大小的计算公式。最后利用仿真示例验证了所得结果的正确性。A four neutral neurons network with time delay is investigated.Taking the transmission delay between the neurons in the model as the bifurcation parameter and using the characteristic value method,sufficient conditions for the occurrence of the bifurcating periodic solutions are obtained.Formulas to determine the stability and the period of the periodic solutions are derived by using the manifold theorem and the normal form theory.Finally,the correctness of obtained results is verified by a numerical example.

关 键 词：中立型神经网络 时滞 分岔周期解 

分 类 号：O175[理学—数学] TP183[理学—基础数学]