2017
DOI: 10.1002/mma.4661
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Dynamics of BAM neural networks with mixed delays and leakage time‐varying delays in the weighted pseudo–almost periodic on time‐space scales

Abstract: Bidirectional associative memory models are 2‐layer heteroassociative networks. In this work, we prove the existence and the global exponential stability of the unique weighted pseudo–almost periodic solution of bidirectional associative memory neural networks with mixed time‐varying delays and leakage time‐varying delays on time‐space scales. Some sufficient conditions are given for the existence, the convergence, and the global exponential stability of the weighted pseudo–almost periodic solution by using fi… Show more

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Cited by 40 publications
(22 citation statements)
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“…From the year 2000 till now, a rapidly growing attention has been paid in the subject of various studies on time-scales; for instance, the reader may consult the papers [13][14][15][16][17][18][19][20][21][22][23] and references cited therein. On the other hand, solutions of the various types of the first-order dynamic equation on time scale have been discussed by several authors; for instance, the literature.…”
Section: Figure 1 Life Span Of Pharaoh Cicadamentioning
confidence: 99%
“…From the year 2000 till now, a rapidly growing attention has been paid in the subject of various studies on time-scales; for instance, the reader may consult the papers [13][14][15][16][17][18][19][20][21][22][23] and references cited therein. On the other hand, solutions of the various types of the first-order dynamic equation on time scale have been discussed by several authors; for instance, the literature.…”
Section: Figure 1 Life Span Of Pharaoh Cicadamentioning
confidence: 99%
“…In these ten years, neural networks (NNs) have been successfully applied to numerous fields such as synchronization, control, stability and stabilization of periodic and automorphic solutions ( [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [17]). The aim of this work is to introduce the concept of almost anti-periodic functions on time scales.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, almost periodic oscillation and pseudo almost periodic oscillation are important dynamics of neural networks. Many authors have studied the existence and stability of almost periodic solutions [5,13] and pseudo almost periodic solutions [22][23][24][25][26] of neural networks, including stochastic neural networks [27] and fuzzy neural networks [28,29].…”
Section: Introductionmentioning
confidence: 99%