Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term

被引：27
作者：
Arbi, Adnene [1 ]
机构：
[1] Univ Carthage, Lab Engn Math LR01ES13, Tunisia Polytech Sch, BP 743 2078, La Marsa, Tunisia
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 152卷
关键词：
Cellular neural networks; Traveling waves solutions; Exponential stability; Weighted energy method; Taylor formula; TIME-VARYING DELAYS; NICHOLSONS BLOWFLIES EQUATION; SPACE SCALES; STABILITY; MODEL;
D O I：
10.1016/j.chaos.2021.111436
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, the exponential stability of monotone traveling wave solutions for a class of nonlinear delayed dynamical neural networks with leakage term and distributed delays is investigated. The outcomes of this study are new and has obtained by applying of Ikeharas theorem, the weighted energy method, Taylor formula, comparison principle and the first integral mean value theorem. In addition, the leakage term is considered for the first time in this work to the dynamical model of cellular neural networks. (c) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Stability in static delayed neural networks: A nonlinear measure approach
    Li, Ping
    Cao, Jinde
    NEUROCOMPUTING, 2006, 69 (13-15) : 1776 - 1781
  • [42] Novel results on nonfragile sampled-data exponential synchronization for delayed complex dynamical networks
    Zhao, Can
    Zhong, Shouming
    Zhang, Xiaojun
    Zhong, Qishui
    Shi, Kaibo
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (10) : 4022 - 4042
  • [43] Dynamical Analysis for High-Order Delayed Hopfield Neural Networks with Impulses
    Li, Dengwang
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [44] Dynamical behaviors for discontinuous and delayed neural networks in the framework of Filippov differential inclusions
    Huang, Lihong
    Cai, Zuowei
    Zhang, Lingling
    Duan, Lian
    NEURAL NETWORKS, 2013, 48 : 180 - 194
  • [45] Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations
    Qian, Yinjie
    Qiao, Yuanhua
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 145
  • [46] Event-triggered delayed impulsive control for nonlinear systems with application to complex neural networks
    Wang, Mingzhu
    Li, Xiaodi
    Duan, Peiyong
    NEURAL NETWORKS, 2022, 150 : 213 - 221
  • [47] Stability analysis of nonlinear system identification via delayed neural networks
    Rubio, Jose de Jesus
    Yu, Wen
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2007, 54 (02) : 161 - 165
  • [48] Almost Automorphic Solutions to Cellular Neural Networks With Neutral Type Delays and Leakage Delays on Time Scales
    Xu, Changjin
    Liao, Maoxin
    Li, Peiluan
    Liu, Zixin
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2020, 13 (01) : 1 - 11
  • [49] Existence and global attractivity of almost periodic solutions for delayed high-ordered neural networks
    Wang, Lili
    NEUROCOMPUTING, 2010, 73 (4-6) : 802 - 808
  • [50] Traveling Waves Solutions for Delayed Temporally Discrete Non-Local Reaction-Diffusion Equation
    Guo, Hongpeng
    Guo, Zhiming
    MATHEMATICS, 2021, 9 (16)
12345