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Dynamics of a multiplex neural network with delayed couplings

查看全文 作  者:Xiaochen [1]MAO;Xingyong [1]LI;Weijie [1]DING;Song [1]WANG;Xiangyu [1]ZHOU;Lei [1]QIAO 高影响力作者 机构地区:[1]Department of Engineering Mechanics,College of Mechanics and Materials,Hohai University,Nanjing 211100,China高影响力机构 出  处:《Applied Mathematics and Mechanics(English Edition)》索引2021年第42卷第3期,共16页高影响力期刊 基  金:Project supported by the National Natural Science Foundation of China(Nos.11872169 and 11472097);the Fundamental Research Funds for the Central Universities of China(No.B200202114);the Natural Science Foundation of Jiangsu Province of China(No.BK20191295)。 摘  要:Multiplex networks have drawn much attention since they have been observed in many systems,e.g.,brain,transport,and social relationships.In this paper,the nonlinear dynamics of a multiplex network with three neural groups and delayed interactions is studied.The stability and bifurcation of the network equilibrium are discussed,and interesting neural activities of the network are explored.Based on the neuron circuit,transfer function circuit,and time delay circuit,a circuit platform of the network is constructed.It is shown that delayed couplings play crucial roles in the network dynamics,e.g.,the enhancement and suppression of the stability,the patterns of the synchronization between networks,and the generation of complicated attractors and multi-stability coexistence. 关 键 词:neural network time delay SYNCHRONIZATION coexisting attractor
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