期刊
NEURAL NETWORKS
卷 131, 期 -, 页码 115-126出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2020.07.015
关键词
Multiple leakage delays; Stability; Hopf bifurcation; Fractional-order neural networks
资金
- National Natural Science Foundation of China [11701409, 61967001]
- Key Scientific and Technological Project of Henan Province, China [192102310193]
- Key Scientific Research Project for Colleges and Universities of Henan Province, China [20A110004]
- Nanhu Scholars Program for Young Scholars of Xinyang Normal University, China
This paper expatiates the stability and bifurcation for a fractional-order neural network (FONN) with double leakage delays. Firstly, the characteristic equation of the developed FONN is circumspectly researched by employing inequable delays as bifurcation parameters. Simultaneously the bifurcation criteria are correspondingly extrapolated. Then, unequal delays-spurred-bifurcation diagrams are primarily delineated to confirm the precision and correctness for the values of bifurcation points. Furthermore, it lavishly illustrates from the evidence that the stability performance of the proposed FONN can be demolished with the presence of leakage delays in accordance with comparative studies. Eventually, two numerical examples are exploited to underpin the feasibility of the developed theory. The results derived in this paper have perfected the retrievable outcomes on bifurcations of FONNs embodying unique leakage delay, which can nicely serve a benchmark deliberation and provide a comparatively credible guidance for the influence of multiple leakage delays on bifurcations of FONNs. (C) 2020 Elsevier Ltd. All rights reserved.
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