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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.
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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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