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带分布时延神经网络:从稳定到振荡再到稳定的动力学现象 被引量：3

A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY
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摘要 该文主要研究一个带连续分布时延且具有强核的神经网络。作者发现当平均时延参数增加时,系统的状态从稳定变化到振荡现象;当平均时延参数继续增加时,又从振荡变为稳定。这一特殊的动力学现象对于具有弱核的神经网络是不可能发生的,用平均时延作分岔参数,作者也证明了Hopf分岔的存在性。用计算机仿真实验表明所得的结论的正确性。 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.
作者 廖晓峰 吴中福 王康 虞厥邦
机构地区 重庆大学计算机学院 电子科技大学光电子技术系
出处 《电子与信息学报》 EI CSCD 北大核心 2001年第7期687-692,共6页 Journal of Electronics & Information Technology
基金 中国博士后科学基金
关键词 稳定性 振荡 连续分布时延 神经网络 HOPF分岔 动力学 Stability, Oscillation, Continuously distributed time delay, Neural network, Hopf bifurcation
分类号 TP183 [自动化与计算机技术—控制理论与控制工程]
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参考文献8

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同被引文献29

  • 1卢文联,陈天平.时滞神经网络殆周期解的全局稳定性[J].中国科学（A辑）,2005,35(7):774-784. 被引量：1
  • 2马亚锋,王林山.S-分布时滞静态神经网络模型的不变集和吸引集[J].黑龙江大学自然科学学报,2006,23(4):506-508. 被引量：3
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引证文献3

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电子与信息学报
2001年 第7期

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