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Stability and bifurcation analysis in a system of four coupled neurons with multiple delays

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Abstract

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.

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Correspondence to Xiu-ling Li.

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Li, Xl., Wei, Jj. Stability and bifurcation analysis in a system of four coupled neurons with multiple delays. Acta Math. Appl. Sin. Engl. Ser. 29, 425–447 (2013). https://doi.org/10.1007/s10255-013-0212-8

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  • DOI: https://doi.org/10.1007/s10255-013-0212-8

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