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帶分布時(shí)延神經(jīng)網(wǎng)絡(luò):從穩(wěn)定到振蕩再到穩(wěn)定的動(dòng)力學(xué)現(xiàn)象

廖曉峰,  吳中福,  王康,  虞厥邦

廖曉峰, 吳中福, 王康, 虞厥邦. 帶分布時(shí)延神經(jīng)網(wǎng)絡(luò):從穩(wěn)定到振蕩再到穩(wěn)定的動(dòng)力學(xué)現(xiàn)象[J]. 電子與信息學(xué)報(bào), 2001, 23(7): 687-692.
引用本文: 廖曉峰, 吳中福, 王康, 虞厥邦. 帶分布時(shí)延神經(jīng)網(wǎng)絡(luò):從穩(wěn)定到振蕩再到穩(wěn)定的動(dòng)力學(xué)現(xiàn)象[J]. 電子與信息學(xué)報(bào), 2001, 23(7): 687-692.
Liao Xiaoteng, Wu Zhongfu, Wang Kang, Yu Juebang. A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY[J]. Journal of Electronics & Information Technology, 2001, 23(7): 687-692.
Citation: Liao Xiaoteng, Wu Zhongfu, Wang Kang, Yu Juebang. A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY[J]. Journal of Electronics & Information Technology, 2001, 23(7): 687-692.

帶分布時(shí)延神經(jīng)網(wǎng)絡(luò):從穩(wěn)定到振蕩再到穩(wěn)定的動(dòng)力學(xué)現(xiàn)象

A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY

  • 摘要: 該文主要研究一個(gè)帶連續(xù)分布時(shí)延且具有強(qiáng)核的神經(jīng)網(wǎng)絡(luò)。作者發(fā)現(xiàn)當(dāng)平均時(shí)延參數(shù)增加時(shí),系統(tǒng)的狀態(tài)從穩(wěn)定變化到振蕩現(xiàn)象;當(dāng)平均時(shí)延參數(shù)繼續(xù)增加時(shí),又從振蕩變?yōu)榉€(wěn)定。這一特殊的動(dòng)力學(xué)現(xiàn)象對(duì)于具有弱核的神經(jīng)網(wǎng)絡(luò)是不可能發(fā)生的,用平均時(shí)延作分岔參數(shù),作者也證明了Hopf分岔的存在性。用計(jì)算機(jī)仿真實(shí)驗(yàn)表明所得的結(jié)論的正確性。
    Abstract: In this paper, a neural network with strong kernel and continuously time delay is mainly investigated. A switch from stability to instability may occur for certain range of the parameters arid must then be followed by a switch back to stability. Bifurcation phenomena of this model are also investigated. Using the mean time delays as a bifurcation parameter, authors have proven that Hopf bifurcation parameter passes through a critical value. Some computer simulations illustrate correctness of the results.
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  • B. Baldi, A. F. Atiya, How delays affect neural dynamical thresholds with delays, IEEE Trans.on Neural Networks, 1994, 5(4), 612-621.[2]K. Gopalsmay, Issic K. C. Leung, Convergence under dynamical thresholds with delays, IEEETrans. on Neural Networks, 1994, 8(2), 341-348.[3]K. Gopalsmay, X. Z. He, Stability in asymmetric Hopfield net with transmission delays, PhysicaD, 1994, 76(5), 344-358.[4]C.M. Marcus, R. M. Westervelt, Stability of analog neural networks with delay, Phys. Rev. A 1994, 39(7), 347 359.[5]Xiaofeng Liao, Juebang Yu, Qualitative analysis of bi-directional associative memory with time delay, International Journal of Circuit Theory and Application, 1998, 26(7), 219 229.[6]Xiaofeng Liao, Juebang Yu, Robust interval stability analysis for Hopfield with time delay, IEEE Trans. on Neural Networks, 1998, 9(5), 1042-1046.[7]Xiaofeng Liao, et al, Hopf bifurcation and stability of periodic solutions of a neural network with a continuously distributed delay, International Symposium 9n Signal Processing and Intelligence system, 1999, 214-218.[8]Xiaofeng Liao, Kwok-wo Wong, Zhongfu Wu, Bifurcation analysis in a two-neuron system with distributed delays, Physica D, 2001, 179(1-2), 125-141.
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出版歷程
  • 收稿日期:  1998-10-26
  • 修回日期:  2000-05-22
  • 刊出日期:  2001-07-19

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