期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 27, 期 13, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127417502091
关键词
Stability; Hopf bifurcation; time delay; fractional-order; single neuron model
资金
- National Natural Science Foundation of China [61573008, 61473178, 61473177]
- SDUST Research Fund [2014TDJH102]
In this paper, the problems of stability and Hopf bifurcation in a class of fractional-order complex-valued single neuron model with time delay are addressed. With the help of the stability theory of fractional-order differential equations and Laplace transforms, several new sufficient conditions, which ensure the stability of the system are derived. Taking the time delay as the bifurcation parameter, Hopf bifurcation is investigated and the critical value of the time delay for the occurrence of Hopf bifurcation is determined. Finally, two representative numerical examples are given to show the effectiveness of the theoretical results.
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