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Bifurcation and Windows in a Simple Piecewise Linear Chaotic Spiking Neuron

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Advances in Neuro-Information Processing (ICONIP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5506))

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Abstract

This paper studies a piecewise linear chaotic spiking oscillator relating to neuron models. Repeating vibrate-and-fire dynamics, the system can exhibit chaotic/periodic spike-trains and related bifurcation phenomena. Deriving the return map of a state variable, we can analyze typical phenomena precisely and have confirmd an interesting bifurcation phenomena of chaotic spike-trains and window structure of period-doubling route.

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Author information

Authors and Affiliations

  1. Hosei University, Koganei, Tokyo, 184-0002, Japan

    Tomonari Hasegawa & Toshimichi Saito

Authors
  1. Tomonari Hasegawa
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  2. Toshimichi Saito
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Editor information

Editors and Affiliations

  1. Kyushu Institute of Technology, Network Design and Research Center, 680-4 Fukuoka, 820-8502, Kawazu, Iizuka, Japan

    Mario Köppen

  2. Knowledge Engineering and Discovery Research Institute (KEDRI), School of Computing and Mathematical Sciences, Auckland University of Technology, 350 Queen Street, 10110, Auckland, New Zealand

    Nikola Kasabov

  3. Department of Electrical and Computer Engineering, Robotics Laboratory, Auckland University of Technology, 38 Princes Street, 1142, Auckland, New Zealand

    George Coghill

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© 2009 Springer-Verlag Berlin Heidelberg

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Hasegawa, T., Saito, T. (2009). Bifurcation and Windows in a Simple Piecewise Linear Chaotic Spiking Neuron. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02490-0_102

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  • DOI: https://doi.org/10.1007/978-3-642-02490-0_102

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02489-4

  • Online ISBN: 978-3-642-02490-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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