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.
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Acknowledgments
The work was supported by the National Natural Science Foundation of China (Grant No. 61573194).
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Zhao, L., Shi, B., Xiao, M. (2017). Hopf Bifurcation in a Delayed Two-Neuron Fractional Network with Incommensurate-Order. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_48
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DOI: https://doi.org/10.1007/978-981-10-6373-2_48
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