Generalized stability conditions for coupled neural networks with delay feedbacks

被引：1
|
作者：
Maisnam, Sanjeet [1 ]
Singh, R. K. Brojen [1 ]
机构：
[1] Jawaharlal Nehru Univ, Sch Computat & Integrat Sci, New Delhi 110067, India
来源：
HELIYON | 2019年 / 5卷 / 05期
关键词：
Applied mathematics; Computational mathematics; Mathematical biosciences; Neuroscience; Nonlinear physics; HOPF-BIFURCATION ANALYSIS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NORMAL FORMS; PERIODIC-SOLUTIONS; GLOBAL EXISTENCE; SYSTEM; MODEL;
D O I：
10.1016/j.heliyon.2019.e01643
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We present a generalization of the existing models of delayed neural networks (DNNs) with positive delay feedback. A generalized criterion for stability of the system of delay differential equations (DDEs), which governs the dynamics of DNNs, around the trivial local equilibrium is also provided.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Hierarchical Stability Conditions for Generalized Neural Networks With Interval Time-Varying Delay
    Zhai, Zhengliang
    Yan, Huaicheng
    Chen, Shiming
    Chang, Yufang
    Chen, Chaoyang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2025, 55 (01): : 418 - 429
  • [2] Hierarchical Stability Conditions for Two Types of Time-Varying Delay Generalized Neural Networks
    Zhai, Zhengliang
    Yan, Huaicheng
    Chen, Shiming
    Hu, Xiao
    Chang, Yufang
    IEEE TRANSACTIONS ON CYBERNETICS, 2024, 54 (10) : 5832 - 5842
  • [3] Stability Conditions for Discrete Hopfield Neural Networks with Delay
    Ma, Run-Nian
    Bai, Guo-Qiang
    INTELLIGENT COMPUTING, PART I: INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING, ICIC 2006, PART I, 2006, 4113 : 476 - 481
  • [4] Novel stability conditions for cellular neural networks with time delay
    Liao, XF
    Wong, KW
    Yu, JB
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (07): : 1853 - 1864
  • [5] New conditions for exponential stability of delay impulsive neural networks
    Yang, ZC
    Xu, DY
    Deng, J
    Niu, JR
    ICECS 2004: 11TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, 2004, : 226 - 229
  • [6] CONDITIONS OF ASYMPTOTIC STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME DELAY
    Wu Zhongfu Liao Xiaofeng Yu Juebang(Institute of Computer
    Journal of Electronics(China), 2000, (04) : 345 - 351
  • [7] Delay-Dependent Stability Criteria for Generalized Neural Networks With Two Delay Components
    Zhang, Chuan-Ke
    He, Yong
    Jiang, L.
    Wu, Q. H.
    Wu, Min
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (07) : 1263 - 1276
  • [8] Enhanced stability results for generalized neural networks with time -varying delay
    Wang, Jian-An
    Fan, Li
    Wen, Xin-Yu
    Wang, Yin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (11): : 6932 - 6950
  • [9] Stability, bifurcation, and synchronization of delay-coupled ring neural networks
    Xiaochen Mao
    Zaihua Wang
    Nonlinear Dynamics, 2016, 84 : 1063 - 1078
  • [10] Stability, bifurcation, and synchronization of delay-coupled ring neural networks
    Mao, Xiaochen
    Wang, Zaihua
    NONLINEAR DYNAMICS, 2016, 84 (02) : 1063 - 1078
12345