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Chaotic neuron clock

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  • Bershadskii, A.
  • Ikegaya, Y.

Abstract

A chaotic model of spontaneous (without external stimulus) neuron firing has been analyzed by mapping the irregular spiking time-series into telegraph signals. In this model the fundamental frequency of chaotic Rössler attractor provides (with a period doubling) the strong periodic component of the generated irregular signal. The exponentially decaying broad-band part of the spectrum of the Rössler attractor has been transformed by the threshold firing mechanism into a scaling tale. These results are compared with irregular spiking time-series obtained in vitro from a spontaneous activity of hippocampal (CA3) singular neurons (rat’s brain slice culture). The comparison shows good agreement between the model and experimentally obtained spectra.

Suggested Citation

  • Bershadskii, A. & Ikegaya, Y., 2011. "Chaotic neuron clock," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 342-347.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:4:p:342-347
    DOI: 10.1016/j.chaos.2011.03.001
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    References listed on IDEAS

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    1. Alberto Mazzoni & Frédéric D Broccard & Elizabeth Garcia-Perez & Paolo Bonifazi & Maria Elisabetta Ruaro & Vincent Torre, 2007. "On the Dynamics of the Spontaneous Activity in Neuronal Networks," PLOS ONE, Public Library of Science, vol. 2(5), pages 1-12, May.
    2. Grigolini, Paolo & Aquino, Gerardo & Bologna, Mauro & Luković, Mirko & West, Bruce J., 2009. "A theory of 1/f noise in human cognition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4192-4204.
    3. Tal Kenet & Dmitri Bibitchkov & Misha Tsodyks & Amiram Grinvald & Amos Arieli, 2003. "Spontaneously emerging cortical representations of visual attributes," Nature, Nature, vol. 425(6961), pages 954-956, October.
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    Cited by:

    1. Bershadskii, Alexander, 2018. "Stock market activity and hormonal cycles," MPRA Paper 85298, University Library of Munich, Germany.

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