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http://dx.doi.org/10.14403/jcms.2021.34.3.221

WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS OF HOPFIELD ARTIFICIAL NEURAL NETWORKS WITH LEAKAGE DELAY TERMS  

Lee, Hyun Mork (Department of Applied Mathematics Kongju National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.34, no.3, 2021 , pp. 221-234 More about this Journal
Abstract
We introduce high-order Hopfield neural networks with Leakage delays. Furthermore, we study the uniqueness and existence of Hopfield artificial neural networks having the weighted pseudo almost periodic forcing terms on finite delay. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.
Keywords
Almost periodic; Weighted pseudo almost periodic; Hopfield Neural Network; Delay differential equation; Leakage delay terms;
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1 A. Alimi, C. Aouiti, F. Cherif, F. Dridi, M. M'hamdi, Dynamics and oscillations of generalized high-order neural networks with mixed delays, Neurocomputing. 321 (2018), 274-295.   DOI
2 C. Aouiti, M. M'hamdi, F. Cherif, The existence and the stability of weighted pseudo almost periodic solution of high-order Hopfield neural network, Springer International Publishing Switzerland. (2016), 478-485.
3 C. Aouiti, M. M'hamdi, A. Touati, Pseudo almost automorphic solutions of recurrent neural networks with time-varying coefficients and mixed delays, Neural Process Lett. 45 (2017), 121-140.   DOI
4 C. Bai, Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays, Nonlinear Anal., 71 (2012), no. 11, 5850-5859.   DOI
5 T. Diagana, Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, Springer International Publishing Switzerland. 2013.
6 H. Yang, Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator, AIMs Mathematics. 6 (2020) ,no. 2, 1865-1879.   DOI
7 H.M. Lee,Existence of functional differential equations with Stepanov forcing terms, J. Chungcheong Math. Soc,. 33 (2020), no.3, 351-363.   DOI
8 W. Wang, B. Liu Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varing leakage delays, Abstr. Appl. Anal., 31 (2014), 1-17.
9 F. Qiu, B. Cui, W. Wu, Global exponential stability of high order recurrent neural network with time-varying delays, Appl. Math. Model., 33 (2009), no. 1, 198-210   DOI
10 J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc Natl Acad Sci USA., 81 (1984),no. 10, 3088-3092.   DOI
11 C. Xu, P. Li, Pseudo almost periodic solutions for high-order Hopfield neural networks with time-varing leakage delays, Neural Processes Lett. 46 (2017), 41-58.   DOI
12 L. Zhao, Y. Li, Global exponential stability of weighted pseudo almost periodic solutions of neutral type high-order Hopfield neural networks with distributed delays, Abstr. Appl. Anal., 2014 (2014), 1-17.
13 B. Xiao, Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays, Appl. Math. Lett., 22 (2009), no. 4, 528-533.   DOI
14 C. Zhang, Almost Periodic Type Functions and Ergodicity, Science Press, Beijing. 2003.
15 Y. Li, L. Zhao, X. Chen, Existence of periodic solutions for neutral type cellular neural networks with delays, Appl. Math. Model., 36 (2012), no. 3, 1173-1183.   DOI