Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
2017 ◽
Vol 27
(13)
◽
pp. 1750209
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Keyword(s):
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.
Keyword(s):
2019 ◽
Vol 33
(29)
◽
pp. 1950351
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Keyword(s):
2019 ◽
Vol 20
(2)
◽
pp. 125-136
2020 ◽
Vol 30
(06)
◽
pp. 2050082