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

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.

### 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 |

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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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