中国物理B ›› 2004, Vol. 13 ›› Issue (3): 335-340.doi: 10.1088/1009-1963/13/3/012

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An alternating periodic－chaotic ISI sequence of HH neuron under external sinusoidal stimulus

靳伍银, 徐健学, 吴莹, 洪灵   

  1. State Key Laboratory of Mechanical Structural Strength and Vibration, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2003-06-09 修回日期:2003-09-24 出版日期:2004-03-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 30030040 and 10172067).

An alternating periodic－chaotic ISI sequence of HH neuron under external sinusoidal stimulus

Jin Wu-Yin (靳伍银), Xu Jian-Xue (徐健学), Wu Ying (吴莹), Hong Ling (洪灵)   

  1. State Key Laboratory of Mechanical Structural Strength and Vibration, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2003-06-09 Revised:2003-09-24 Online:2004-03-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 30030040 and 10172067).

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摘要： A study of Hodgkin－Huxley (HH) neuron under external sinusoidal excited stimulus is presented in this paper. As is well known, the stimulus frequency is to be considered as a bifurcate parameter, and numerous phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the stimulus frequency less than 2fB (fB being the base frequency in this paper), the simulation results demonstrate that the single HH neuron could completely convey the sinusoidal signal in anti-phase into interspike interval (ISI) sequences. We also report, perhaps for the first time, another kind of phenomenon, the beat phenomenon, which exists in the phase dynamics of the ISI sequences of the HH neuron stimulated by a sinusoidal current. It is shown furthermore that intermittent transition results in the general route to chaos.

关键词: Hodgkin－Huxley neuron, period, chaos, bifurcation, stimulus

Abstract: A study of Hodgkin－Huxley (HH) neuron under external sinusoidal excited stimulus is presented in this paper. As is well known, the stimulus frequency is to be considered as a bifurcate parameter, and numerous phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the stimulus frequency less than 2fB (fB being the base frequency in this paper), the simulation results demonstrate that the single HH neuron could completely convey the sinusoidal signal in anti-phase into interspike interval (ISI) sequences. We also report, perhaps for the first time, another kind of phenomenon, the beat phenomenon, which exists in the phase dynamics of the ISI sequences of the HH neuron stimulated by a sinusoidal current. It is shown furthermore that intermittent transition results in the general route to chaos.

Key words: Hodgkin－Huxley neuron, period, chaos, bifurcation, stimulus

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
87.18.Sn (Neural networks and synaptic communication)