Novel results on bifurcation for a fractional-order complex-valued neural network with leakage delay

被引:30
|
作者
Yuan, Jun [1 ]
Zhao, Lingzhi [1 ]
Huang, Chengdai [2 ]
Xiao, Min [3 ]
机构
[1] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Jiangsu, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
[3] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210003, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Leakage delays; Stability; Hopf bifurcation; Fractional order; Complex-valued neural networks; STABILITY ANALYSIS; HOPF BIFURCATIONS; TIME DELAYS;
D O I
10.1016/j.physa.2018.09.138
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper primarily investigates the impact of leakage delay on bifurcation for a fractional order complex-valued neural network. By means of time delay as a bifurcation parameter, the bifurcation conditions are precisely determined of the proposed novel system. It is pointed out that the stability performance of the addressed fractional neural network is extremely undermined when leakage delay appears by utilizing comparative numerical analysis, they cannot be discarded. Our obtained results enormously generalizes and enhances the existing ones in literatures. Numerical simulations are presented to verify the validity of the obtained results. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:868 / 883
页数:16
相关论文
共 50 条
  • [21] Impulsive Stabilization and Synchronization of Fractional-Order Complex-Valued Neural Networks
    Wan, Peng
    Jian, Jigui
    NEURAL PROCESSING LETTERS, 2019, 50 (03) : 2201 - 2218
  • [22] Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay
    Velmurugan, G.
    Rakkiyappan, R.
    Vembarasan, V.
    Cao, Jinde
    Alsaedi, Ahmed
    NEURAL NETWORKS, 2017, 86 : 42 - 53
  • [23] Adaptive Synchronization of Fractional-Order Complex-Valued Uncertainty Dynamical Network with Coupling Delay
    Ding, Dawei
    Yao, Xiaolei
    Wang, Nian
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2019, 58 (07) : 2357 - 2371
  • [24] Global stability and Hopf bifurcation of delayed fractional-order complex-valued BAM neural network with an arbitrary number of neurons
    Javidmanesh, Elham
    Bahabadi, Alireza Zamani
    JOURNAL OF MATHEMATICAL MODELING, 2023, 11 (01): : 19 - 34
  • [25] DYNAMICS OF A FRACTIONAL-ORDER BAM NEURAL NETWORK WITH LEAKAGE DELAY AND COMMUNICATION DELAY
    Huang, Chengdai
    Liu, Heng
    Chen, Yuefen
    Chen, Xiaoping
    Song, Fang
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (03)
  • [26] New exploration on bifurcation for fractional-order quaternion-valued neural networks involving leakage delays
    Xu, Changjin
    Liu, Zixin
    Aouiti, Chaouki
    Li, Peiluan
    Yao, Lingyun
    Yan, Jinling
    COGNITIVE NEURODYNAMICS, 2022, 16 (05) : 1233 - 1248
  • [27] Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks With Time-Varying Delays
    Hui, Meng
    Yao, Ning
    Iu, Herbert Ho-Ching
    Yao, Rui
    Bai, Lin
    IEEE ACCESS, 2022, 10 : 45677 - 45688
  • [28] Adaptive Synchronization of Fractional-Order Complex-Valued Chaotic Neural Networks with Time-Delay and Unknown Parameters
    Li, Mei
    Zhang, Ruoxun
    Yang, Shiping
    PHYSICS, 2021, 3 (04) : 924 - 939
  • [29] Impulsive Stabilization and Synchronization of Fractional-Order Complex-Valued Neural Networks
    Peng Wan
    Jigui Jian
    Neural Processing Letters, 2019, 50 : 2201 - 2218
  • [30] Complex Projection Synchronization of Fractional-Order Complex-Valued Memristive Neural Networks with Multiple Delays
    Ding, Dawei
    Yao, Xiaolei
    Zhang, Hongwei
    NEURAL PROCESSING LETTERS, 2020, 51 (01) : 325 - 345