期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 361, 期 -, 页码 565-582出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.05.057
关键词
Neural networks; Hopf bifurcation; Stability; Fractional order; Delay
资金
- National Natural Science Foundation of China [61673008]
- Project of High-level Innovative Talents of Guizhou Province [[2016]5651]
- Major Research Project of The Innovation Group of The Education Department of Guizhou Province [[2017]039]
- Project of Key Laboratory of Guizhou Province with Financial and Physical Features [[2017]004]
- Foundation of Science and Technology of Guizhou Province [[2018]1025, [2018]1020]
- Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science Technology) [2018MMAEZD21]
- Innovative Exploration Project of Guizhou University of Finance and Economics [[2017]5736-015]
In this article, on the basis of predecessors, works, we will propose a new fractional-order neural network model with multiple delays. Letting two different delays be bifurcation parameters and analyzing the corresponding characteristic equations of considered model, we will establish a set of new sufficient criteria to guarantee the stability and the appearance of Hopf bifurcation of fractional-order network model with multiple delays. The impact of two different delays on the stability behavior and the emergence of Hopf bifurcation of involved network model is revealed. The influence of the fractional order on the stability and Hopf bifurcation of involved model is also displayed. To check the correctness of analytical results, we perform programmer simulations with software. A conclusion is drawn in the end. The analysis results in this article are innovative and have important theoretical significance in designing neural networks. (C) 2019 Elsevier Inc. All rights reserved.
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