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Xu, Changjin; Li, Peiluan

Dynamics in a delayed neural network model of two neurons with inertial coupling. (English) Zbl 1254.34118

Abstr. Appl. Anal. 2012, Article ID 689319, 17 p. (2012).
Summary: A delayed neural network model of two neurons with inertial coupling is dealt with in this paper. The stability is investigated and Hopf bifurcation is demonstrated. Applying the normal form theory and the center manifold argument, we derive the explicit formulas for determining the properties of the bifurcating periodic solutions. An illustrative example is given to demonstrate the effectiveness of the obtained results.

Cited in 2 Documents

MSC:

34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K20 Stability theory of functional-differential equations
34K18 Bifurcation theory of functional-differential equations
34K13 Periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics

Keywords:

delayed neural network model; inertial coupling; stability; Hopf bifurcation
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\textit{C. Xu} and \textit{P. Li}, Abstr. Appl. Anal. 2012, Article ID 689319, 17 p. (2012; Zbl 1254.34118)
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References:

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