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Stability and Bifurcation Analysis in a System of Four Coupled Neurons with Multiple Delays 被引量：1

Stability and Bifurcation Analysis in a System of Four Coupled Neurons with Multiple Delays
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摘要 A system of delay differential equations is studied which represent a model for four neurons with time delayed connections between the neurons and time delayed feedback from each neuron to itself. The linear stability and bifurcation of the system are studied in a parameter space consisting of the sum of the time delays between the elements and the product of the strengths of the connections between the elements. Meanwhile, the bifurcation set are drawn in the parameter space. A system of delay differential equations is studied which represent a model for four neurons with time delayed connections between the neurons and time delayed feedback from each neuron to itself. The linear stability and bifurcation of the system are studied in a parameter space consisting of the sum of the time delays between the elements and the product of the strengths of the connections between the elements. Meanwhile, the bifurcation set are drawn in the parameter space.
作者 Xiu-ling LI Jun-jie WEI
机构地区 College of Applied Mathematics Department of Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第2期425-448,共24页 应用数学学报（英文版）
关键词 STABILITY BIFURCATION multiple delays stability bifurcation multiple delays
分类号 O175 [理学—基础数学] N93 [自然科学总论]
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参考文献15

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Acta Mathematicae Applicatae Sinica
2013年 第2期

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