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Author:

Ji, Conghuan (Ji, Conghuan.) | Qiao, Yuanhua (Qiao, Yuanhua.) (Scholars:乔元华) | Miao, Jun (Miao, Jun.) | Duan, Lijuan (Duan, Lijuan.) (Scholars:段立娟)

Indexed by:

EI Scopus SCIE

Abstract:

Stability and Hopf bifurcation of a class of delayed complex-valued neural networks are investigated in this paper. First, using proper translations and coordinate transformations, we decompose the activation functions and connection weights into their real and imaginary parts, so as to construct an equivalent real-valued system. Then, the sufficient conditions for Hopf bifurcation and its directions are provided through normal form theory and central manifold theorem. In the end, some numerical simulations are given to illustrate the correctness of the results. (C) 2018 Elsevier Ltd. All rights reserved.

Keyword:

Hopf bifurcation Complex-valued neural network Time delay Stability

Author Community:

  • [ 1 ] [Ji, Conghuan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Qiao, Yuanhua]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Miao, Jun]Beijing Informat Sci & Technol Univ, Sch Comp Sci, Beijing 100101, Peoples R China
  • [ 4 ] [Duan, Lijuan]Beijing Univ Technol, Coll Comp Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 乔元华

    [Qiao, Yuanhua]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

CHAOS SOLITONS & FRACTALS

ISSN: 0960-0779

Year: 2018

Volume: 115

Page: 45-61

7 . 8 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:145

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 10

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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