Abstract In this paper, a delayed fractional two-neuron network with incommensurate-order is proposed. By analyzing the characteristic equation of the proposed network and using time delay as the bifurcation parameter, the conditions of stability and Hopf bifurcation are educed. And then, it is demonstrated that each order has important influence on the creation of bifurcation. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Hopf Bifurcation in a Delayed Two-Neuron Fractional Network with Incommensurate-Order


    Contributors:
    Zhao, Lingzhi (author) / Shi, Beibei (author) / Xiao, Min (author)


    Publication date :

    2017-01-01


    Size :

    11 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    HOPF BIFURCATION ANALYSIS OF A ROTOR-SEAL SYSTEM

    Ding, Q. | Online Contents | 2002



    Hopf bifurcation analysis of the Lev Ginzburg equation

    Bellamy, Michael | Online Contents | 2007


    A Reduced-Order Model of an Aeroelastic Wing Exhibiting a Sub-Critical Hopf Bifurcation

    Carlson, Henry / Verberg, Rolf / Lechniak, Jason et al. | AIAA | 2013


    The Hopf Bifurcation in a Rail Wheelset With Nonlinear Damping

    Yang, S. / Ahmadian, M. / ASME; Advanced Energy Systems Division; Rail Transportation Division | British Library Conference Proceedings | 1996