Geodesic
Dynamic behavior of a class of delayed Lotka--Volterra recurrent neural networks on time scales
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2021), pp. 67-85

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In this paper, Lotka–Volterra recurrent neural networks with time-varying delays on time scales are considered. Using Banach's fixed-point principle, the theory of calculus on time scales and suitable Lyapunov functional, some sufficient conditions for the existence, uniqueness and Stepanov-exponential stability of positive weighted Stepanov-like pseudo almost periodic solution on time scales to the recurrent neural networks are established. Finally, an illustrative example and simulations are presented to demonstrate the effectiveness of the theoretical findings of the paper. The results of this paper are new and generalize some previously-reported results in the literature.
Mots-clés : time scale
Keywords: Bochner-like transform, Lotka-Volterra recurrent neural network, weighted Stepanov-like pseudo almost periodic solution, global stability. 
@article{IVM_2021_11_a6,
     author = {M. Es-saiydy and M. Zitane},
     title = {Dynamic behavior of a class of delayed {Lotka--Volterra} recurrent neural networks on time scales},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {67--85},
     publisher = {mathdoc},
     number = {11},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_11_a6/}
}
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M. Es-saiydy; M. Zitane. Dynamic behavior of a class of delayed Lotka--Volterra recurrent neural networks on time scales. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2021), pp. 67-85. http://geodesic.mathdoc.fr/item/IVM_2021_11_a6/