Impulsive multidirectional associative memory neural networks: New results

被引：7
作者：
Aouiti, Chaouki [1 ]
Ben Rezeg, Mahjouba [1 ]
机构：
[1] Univ Carthage, Fac Sci Bizerta, Dept Math, Res Units Math & Applicat UR13ES47, UR13ES47, Zarzouna 7021, Bizerta, Tunisia
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2021年 / 14卷 / 07期
关键词：
Multidirectional associative memory neural network; anti-periodic solution; leakage delays; impulsive effects; global exponential stability; GLOBAL EXPONENTIAL STABILITY; NICHOLSONS BLOWFLIES MODEL; FINITE-ELEMENT-METHOD; TIME-VARYING DELAY; ANTIPERIODIC SOLUTIONS; DISTRIBUTED DELAYS; PERIODIC-SOLUTIONS; LEAKAGE DELAYS; LIMIT-CYCLES; EXISTENCE;
D O I：
10.1142/S1793524521500601
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
An Impulsive Multidirectional Associative Memory Neural Network (IMAMNN) with time-varying and leakage delays is proposed. Through the use of a continuation theorem of coincidence degree theory and differential inequality techniques we establish new conditions for the existence and exponential stability of anti-periodic solutions for the model considered in this work. Moreover, two examples and its numerical simulations are presented to show the validity and the effectiveness of the results.
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页数：34
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