Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays |
| |
| Institution: | 1. Research Center for Complex Systems and Network Sciences, and Department of Mathematics, Southeast University, Nanjing 210096, China;2. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;1. School of Mathematics and Information Science, He''nan University of Economics and Law, Zhengzhou 450046, China\n;2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;1. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China;2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, PR China;3. Library, Guizhou University of Finance and Economics, Guiyang 550004, PR China;4. Faculty of Sciences of Bizerta, UR13ES47 Research Units of Mathematics and Applications, University of Carthage, Bizerta 7021, Tunisia |
| |
| Abstract: | A delay-differential equation modelling a bidirectional associative memory (BAM) neural network with three neurons is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic equation, its linear stability is investigated and Hopf bifurcations are demonstrated. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold reduction. Numerical simulation results are given to support the theoretical predictions. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
