Bifurcation control in a delayed two-neuron fractional network |
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| Authors: | Lingzhi Zhao Jinde Cao Chengdai Huang Ahmed Alsaedi Abdullah Al-Barakati Habib M Fardoun |
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| Affiliation: | 1.Research Center for Complex Systems and Network Sciences, and School of Mathematics,Southeast University,Nanjing,China;2.School of Information Engineering,Nanjing Xiaozhuang University,Nanjing,China;3.Nonlinear Analysis and Applied Mathematics Research Group, Faculty of Science,King Abdulaziz University,Jeddah,Saudi Arabia;4.Information Systems Department, Faculty of Computing and Information Technology,King Abdulaziz University,Jeddah,Saudi Arabia |
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| Abstract: | The issue of bifurcation control for a delayed fractional network involving two neurons is concerned. Delay-dependent stability conditions and the bifurcation point are established by discussing the associated characteristic equation of the proposed network. Then, a delayed feedback controller is firstly designed to stabilize the Hopf bifurcation, and desirable dynamics is achieved. It is indicated that the designed controller is extremely effective which can postpone the onset of bifurcation by carefully selecting the feedback gain. Finally, simulation results are given to verify the efficiency of the theoretical results. |
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