This paper considers a class of delayed Cohen-Grossberg-type bi-directonal associative memory neural networks with impulses. By using Mawhin continuation theorem and constructing a new Lyapunov function, some sufficient conditions are presented to guarantee the existence and stability of periodic solutions for the impulsive neural network systems. A simulation example is carried out to illustrate the efficiency of the theoretical results.
Citation: Shuting Chen, Ke Wang, Jiang Liu, Xiaojie Lin. Periodic solutions of Cohen-Grossberg-type Bi-directional associative memory neural networks with neutral delays and impulses[J]. AIMS Mathematics, 2021, 6(3): 2539-2558. doi: 10.3934/math.2021154
This paper considers a class of delayed Cohen-Grossberg-type bi-directonal associative memory neural networks with impulses. By using Mawhin continuation theorem and constructing a new Lyapunov function, some sufficient conditions are presented to guarantee the existence and stability of periodic solutions for the impulsive neural network systems. A simulation example is carried out to illustrate the efficiency of the theoretical results.
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Shuting Chen, Ke Wang, Jiang Liu, Xiaojie Lin. Periodic solutions of Cohen-Grossberg-type Bi-directional associative memory neural networks with neutral delays and impulses[J]. AIMS Mathematics, 2021, 6(3): 2539-2558. doi: 10.3934/math.2021154
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