延迟双向联想记忆神经网络的周期振荡现象研究
INVESTIGATION OF PERIODIC OSCILLATION PHENOMENON FOR NEURAL NETWORKS OF BAM WITH AXONAL SIGNAL TRANSMISSION DELAYS
-
摘要: 带轴突信号传输延迟的双向联想记忆(BAM)神经网络是两层异联想网络,本文详细讨论带延迟BAM网络周期解的存在与唯一性,得到了一个充分条件;并用具体例子验证了所得结论的正确性。我们的结果对于具体的延迟BAM振荡神经电路的设计和应用具有重要的指导意义。Abstract: Bidirectional associativ memory models with axonal signal transmission delays are two-layer heteroassociative networks. In this paper, existence and uniqueness of periodic solutions are emphatically discussed for BAM with axonal signal transmission delays. A sufficient condition is obtained. Correctness for obtained results are verified by use of some examples. The obtained results have improtant leading significance in the design and application of oscillation neural circuits for BAM with axonal signal transmission delays.
-
Kosko B. Neural Networks and Fuzzy Systems-A Dynamical System Approach to Machine[2]Intelligence. Prentice Hall International Inc., 1992, 38-108.[3]廖晓峰,刘光远,虞厥邦.连续BAM模型的定性分析.电路与系统学报,1996, 2(2): 13-18.[4]廖晓峰,刘光远,虞厥邦.具有轴突信号传输延迟的双向联想记忆神经网络.电子科学学刊,1997, 19(4): 439-444.[5]Xiaofeng Liao, et al. Qualitative analysis of bidirectional associative memory with time delay. International Journal of Circuit Theory and Applications, 1998, to appear.[6]Hirsch M W, Smale S. Differential Equations. Dynamical Systems and Linear Algebra. Orlando, FL: Acadmic Press, 1974.[7]Michel A N, Miller R K. Qualitative Analysis of Large Scale Dynamical Systems. New York: Acadmic, 1977.[8]Kelly D G. Stability in contractive nonlinear neural networks[J].IEEE Trans on Biomedical Engi-neering.1990, 37(3):231-242 -
计量
- 文章访问数: 2273
- HTML全文浏览量: 126
- PDF下载量: 434
- 被引次数: 0
下载:
