Stability and Hopf bifurcation of controlled complex networks model with two delays

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摘要

This paper considers Hopf bifurcation of complex network with two independent delays. By analyzing the eigenvalue equations, the local stability of the system is studied. Taking delay as parameter, the change of system stability with time is studied and the emergence of inherent bifurcation is given. By changing the value of the delay, the bifurcation of a given system can be controlled. Numerical simulation results confirm the validity of the results found.

论文关键词:Hopf bifurcation,Independent delays,Disease spreading networks,Numerical simulation

论文评审过程:Received 23 January 2018, Revised 5 July 2018, Accepted 10 September 2018, Available online 10 October 2018, Version of Record 10 October 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.09.027