Dynamic behaviors for reaction-diffusion neural networks with mixed delays

被引:6
|
作者
Xu, Mei [1 ]
Du, Bo [1 ]
机构
[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 06期
关键词
reaction-diffusion; neural networks; mixed delays; EXPONENTIAL STABILITY; SYNCHRONIZATION; ARRAY;
D O I
10.3934/math.2020439
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A class of reaction-diffusion neural networks with mixed delays is studied. We will discuss some important properties of the periodic mild solutions including existence and globally exponential stability by using exponential dissipation property of semigroup of operators and some analysis techniques. Finally, an example for the above neural networks is given to show the effectiveness of the results in this paper.
引用
收藏
页码:6841 / 6855
页数:15
相关论文
共 50 条
  • [1] Dynamic behaviors for inertial neural networks with reaction-diffusion terms and distributed delays
    Zheng, Famei
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [2] Dynamic behaviors for inertial neural networks with reaction-diffusion terms and distributed delays
    Famei Zheng
    Advances in Difference Equations, 2021
  • [3] Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays
    Zhang, Weiyuan
    Li, Junmin
    Chen, Minglai
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [4] Dynamical behaviors of reaction-diffusion fuzzy neural networks with mixed delays and general boundary conditions
    Lv, Teng
    Yan, Ping
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) : 993 - 1001
  • [5] H∞ synchronization of coupled reaction-diffusion neural networks with mixed delays
    He, Ping
    Li, Yangmin
    COMPLEXITY, 2016, 21 (S2) : 42 - 53
  • [6] Impulsive H∞ synchronization for reaction-diffusion neural networks with mixed delays
    Liu, Lijun
    Chen, Wu-Hua
    Lu, Xiaomei
    NEUROCOMPUTING, 2018, 272 : 481 - 494
  • [7] Synchronization of Reaction-Diffusion Neural Networks with Mixed Time-Varying Delays
    Wu H.
    Zhang X.
    Li R.
    Yao R.
    Journal of Control, Automation and Electrical Systems, 2014, 26 (01) : 16 - 27
  • [8] Pinning synchronization for reaction-diffusion neural networks with delays by mixed impulsive control
    Yi, Chengbo
    Xu, Chen
    Feng, Jianwen
    Wang, Jingyi
    Zhao, Yi
    NEUROCOMPUTING, 2019, 339 : 270 - 278
  • [9] Impulsive synchronization of stochastic reaction-diffusion neural networks with mixed time delays
    Sheng, Yin
    Zeng, Zhigang
    NEURAL NETWORKS, 2018, 103 : 83 - 93
  • [10] Pinning impulsive stabilization for BAM reaction-diffusion neural networks with mixed delays
    Lu, Binglong
    Jiang, Haijun
    Hu, Cheng
    Abdurahman, Abdujelil
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (17): : 8802 - 8829