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12-01-2022 | Research Article

Effects of double delays on bifurcation for a fractional-order neural network

Authors: Lingzhi Zhao, Chengdai Huang, Jinde Cao

Published in: Cognitive Neurodynamics | Issue 5/2022

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Abstract

Neural network bifurcation is an important nonlinear dynamic behavior of neural network, which plays an important role in cognitive calculation. The effects of leakage delay or communication delay on the stability and bifurcation of a fractional-order neural network (FONN) are researched. By viewing leakage delay or communication delay as the bifurcation parameters to detect the bifurcations conditions of the developed FONN, respectively, we capture the bifurcation points with regard to leakage delay or communication delay. It alleges that FONN exhibits excellent stability performance with choosing smaller values of them, and Hopf bifurcations emerge of FONN and induce poor performance if selecting a larger ones. In the end, numerical examples are employed to evaluate the feasibleness of the analytical discoveries.

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Metadata
Title
Effects of double delays on bifurcation for a fractional-order neural network
Authors
Lingzhi Zhao
Chengdai Huang
Jinde Cao
Publication date
12-01-2022
Publisher
Springer Netherlands
Published in
Cognitive Neurodynamics / Issue 5/2022
Print ISSN: 1871-4080
Electronic ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-021-09762-2

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