中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1088-1094.doi: 10.1088/1009-1963/14/6/006

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Another anticontrol method of chaos in the sense of Devaney from a Takagi-Sugeno fuzzy system via the overflow nonlinearity

陆启韶1, 石霞2   

  1. (1)School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083 , China;; (2)School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083 , China;School of Science, Beijing University of Posts and Telecommunications, Beijing 100876 , China
  • 收稿日期:2004-10-14 修回日期:2005-03-04 出版日期:2005-05-27 发布日期:2005-05-27
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10432010) and the Doctoral Research Foundation of Beijing University of Aeronautics and Astronautics.

Coherence resonance and synchronication of Hindmarsh-Rose neurons with noise

Shi Xia (石霞), Lu Qi-Shao (陆启韶)   

  1. School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083 , China
  • Received:2004-10-14 Revised:2005-03-04 Online:2005-05-27 Published:2005-05-27
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10432010) and the Doctoral Research Foundation of Beijing University of Aeronautics and Astronautics.

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摘要： Noise effects on coherence resonance and synchronization of Hindmarsh-Rose (HR) neu model are studied. The coherence resonance of a single HR neuron with Gaussian white ndded to membrane potential is investigated in situations before, near and after the Hopf bifuion, separately, with the external direct current as a bifurcation parameter. It is shown that ehough there is no coupling between neurons, uncoupled identical HR neurons driven by a comm noise can achieve complete synchronization when the noise intensity is higher than a critical va Furthermore, noise also enhances complete synchronization of weakly coupled neurons. It is cluded that synchronization in bursting neurons is easier to be induced than in spiking ones,oupling enhances the sensitivity of synchronization of neurons to noise stimulus.

关键词: coherence resonance, synchronization, Hindmarsh-Rose neuron, Gaussian white noise

Abstract: Noise effects on coherence resonance and synchronization of Hindmarsh-Rose (HR) neu model are studied. The coherence resonance of a single HR neuron with Gaussian white ndded to membrane potential is investigated in situations before, near and after the Hopf bifuion, separately, with the external direct current as a bifurcation parameter. It is shown that ehough there is no coupling between neurons, uncoupled identical HR neurons driven by a comm noise can achieve complete synchronization when the noise intensity is higher than a critical va Furthermore, noise also enhances complete synchronization of weakly coupled neurons. It is cluded that synchronization in bursting neurons is easier to be induced than in spiking ones,oupling enhances the sensitivity of synchronization of neurons to noise stimulus.

Key words: coherence resonance, synchronization, Hindmarsh-Rose neuron, Gaussian white noise

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.40.Ca (Noise) 02.30.Oz (Bifurcation theory)