延遲雙向聯(lián)想記憶神經(jīng)網(wǎng)絡(luò)的周期振蕩現(xiàn)象研究
INVESTIGATION OF PERIODIC OSCILLATION PHENOMENON FOR NEURAL NETWORKS OF BAM WITH AXONAL SIGNAL TRANSMISSION DELAYS
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摘要: 帶軸突信號傳輸延遲的雙向聯(lián)想記憶(BAM)神經(jīng)網(wǎng)絡(luò)是兩層異聯(lián)想網(wǎng)絡(luò),本文詳細討論帶延遲BAM網(wǎng)絡(luò)周期解的存在與唯一性,得到了一個充分條件;并用具體例子驗證了所得結(jié)論的正確性。我們的結(jié)果對于具體的延遲BAM振蕩神經(jīng)電路的設(shè)計和應(yīng)用具有重要的指導(dǎo)意義。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.
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Kosko B. Neural Networks and Fuzzy Systems-A Dynamical System Approach to Machine[2]Intelligence. Prentice Hall International Inc., 1992, 38-108.[3]廖曉峰,劉光遠,虞厥邦.連續(xù)BAM模型的定性分析.電路與系統(tǒng)學(xué)報,1996, 2(2): 13-18.[4]廖曉峰,劉光遠,虞厥邦.具有軸突信號傳輸延遲的雙向聯(lián)想記憶神經(jīng)網(wǎng)絡(luò).電子科學(xué)學(xué)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 -
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