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一個(gè)帶時(shí)延神經(jīng)網(wǎng)絡(luò)的分岔現(xiàn)象研究

王炎 廖曉峰 吳中福 虞厥邦

王炎, 廖曉峰, 吳中福, 虞厥邦. 一個(gè)帶時(shí)延神經(jīng)網(wǎng)絡(luò)的分岔現(xiàn)象研究[J]. 電子與信息學(xué)報(bào), 2000, 22(6): 972-977.
引用本文: 王炎, 廖曉峰, 吳中福, 虞厥邦. 一個(gè)帶時(shí)延神經(jīng)網(wǎng)絡(luò)的分岔現(xiàn)象研究[J]. 電子與信息學(xué)報(bào), 2000, 22(6): 972-977.
Wang Yan, Liao Xiaofeng, Wu Zhongfu, Yu Juebang . STUDY OF BIFURCATION PHENOMENON FOR A NEURAL NETWORK WITH TIME DELAY[J]. Journal of Electronics & Information Technology, 2000, 22(6): 972-977.
Citation: Wang Yan, Liao Xiaofeng, Wu Zhongfu, Yu Juebang . STUDY OF BIFURCATION PHENOMENON FOR A NEURAL NETWORK WITH TIME DELAY[J]. Journal of Electronics & Information Technology, 2000, 22(6): 972-977.

一個(gè)帶時(shí)延神經(jīng)網(wǎng)絡(luò)的分岔現(xiàn)象研究

STUDY OF BIFURCATION PHENOMENON FOR A NEURAL NETWORK WITH TIME DELAY

  • 摘要: 本文借助中心流形定理詳細(xì)討論了一個(gè)帶時(shí)延神經(jīng)網(wǎng)絡(luò)的Hopf分岔和周期解的漸近穩(wěn)定性,給出了確定周期解的漸近穩(wěn)定性、分岔方向,周期和解的漸近形式的一個(gè)算法,并進(jìn)行了計(jì)算機(jī)仿真實(shí)驗(yàn),仿真實(shí)驗(yàn)表明了所討論的結(jié)果的有效性與正確性。
  • Hopfield J J. Neurons with graded response have collective computational properties like those of two state neurons[J].Proceeding of Natural Academy Science of USA.1984, 81(10):3088-3092[2]Chua L O, Roska T. The CNN paradigm. IEEE Trans. on Circuits and Systems, 1993, CAS-40(3):147-156.[3]Baldi P, Atiya A F. How delays affect neural dynamics and learning. IEEE Trans. on Neural Networks, 1994, NN-5(4): 612-621.[4]Civalleri P P, Gilli M, Pandolfi L. On stability of cellular neural networks with delay. IEEE Trans.on Circuits and Systems, 1993, CAS-40(3): 157-165.[5]Liao X F, Yu J B. Qualitative analysis of bi-directional associative memory with time delay[J].International Journal of Circuit Theory and Applications.1998, 26(2):219-2293.0.CO;2-I' target='_blank'>[6]Liao X, Liu G Y, Yu J B. Stability analysis of BAM with time delay. Journal of Electronics(China), 1997,14(4): 345-351.[7]Liao X F.[J].Yu J B. Stability analysis of Bi-directional associative memory with axonal signal transmission delays. ICSP96, Beijing, China.1457,1996:-[8]Zhang Y. Global exponential stability and periodic solutions of delay Hopfield neural networks[J].International Journal of Systems Science.1996, 27(2):227-231[9]Zhang Y, Zhong S M, Li Z L. Periodic solutions and stability of Hopfield neural networks with variable delays[J].International Journal of Systems Science.1996, 27(9):895-901[10]Gopalsamy K, Leung I K C. Convergence under dynamical thresholds with delays. IEEE Trans.on Neural Networks., 1997, NN-8(2): 341-348.[11]Zou F, Nossek J A. Bifurcation and chaos in cellular neural networks. IEEE Trans. on Circuits and Systems, 1993, CAS-40(3): 166-173.[12]Hassard B D, Kazarinoff N D, Wan Y H. Theory and Applications of Hopf Bifurcation. Cambridge: Cambridge Univ. Press, 1981.
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出版歷程
  • 收稿日期:  1998-04-24
  • 修回日期:  1999-06-25
  • 刊出日期:  2000-11-19

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