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Crisis of interspike intervals in Hodgkin–Huxley model

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  • Jin, Wu-yin
  • Xu, Jian-xue
  • Wu, Ying
  • Hong, Ling
  • Wei, Yao-bing

Abstract

The bifurcations of the chaotic attractor in a Hodgkin–Huxley (H–H) model under stimulation of periodic signal is presented in this work, where the frequency of signal is taken as the controlling parameter. The chaotic behavior is realized over a wide range of frequency and is visualized by using interspike intervals (ISIs). Many kinds of abrupt undergoing changes of the ISIs are observed in different frequency regions, such as boundary crisis, interior crisis and merging crisis displaying alternately along with the changes of external signal frequency. And there are logistic-like bifurcation behaviors, e.g., periodic windows and fractal structures in ISIs dynamics. The saddle-node bifurcations resulting in collapses of chaos to period-6 orbit in dynamics of ISIs are identified.

Suggested Citation

  • Jin, Wu-yin & Xu, Jian-xue & Wu, Ying & Hong, Ling & Wei, Yao-bing, 2006. "Crisis of interspike intervals in Hodgkin–Huxley model," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 952-958.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:952-958
    DOI: 10.1016/j.chaos.2005.04.062
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    Cited by:

    1. Han, Chunxiao & Wang, Jiang & Deng, Bin, 2009. "Fire patterns of modified HH neuron under external sinusoidal ELF stimulus," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2045-2054.
    2. Wang, Jiang & Si, Wenjie & Che, Yanqiu & Fei, Xiangyang, 2008. "Spike trains in Hodgkin–Huxley model and ISIs of acupuncture manipulations," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 890-900.

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