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**Multiple periodic solutions in impulsive hybrid neural networks with delays.**
*(English)*
Zbl 1225.34071

The authors establish sufficient conditions for the existence and exponential stability of multiple periodic solutions to an impulsive hybrid Hopfield-type neural network with both time-dependent and distributed delays. The proofs are based on the Leray-Schauder fixed point theorem and Lyapunov functionals.

Reviewer: Meng Fan (Changchun)

### MSC:

34K13 | Periodic solutions to functional-differential equations |

92B20 | Neural networks for/in biological studies, artificial life and related topics |

34K45 | Functional-differential equations with impulses |

### Keywords:

Hopfield-type neural networks; periodic solutions; time-dependent delays; distributed delays; impulses
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\textit{E. Kaslik} and \textit{S. Sivasundaram}, Appl. Math. Comput. 217, No. 10, 4890--4899 (2011; Zbl 1225.34071)

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### References:

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