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Synchronization Transition in a Pair of Coupled Non-identical Oscillators

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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

We study synchronization phenomena in a pair of integrate-and-fire (IF) oscillators with the width of an action potential. They have slightly different periodic firings each other. Such non-identical IF oscillators typically interact with each other via excitatory or inhibitory synaptic stimuli. A return map analysis gives us a systematic analysis of stabilities of the 1:1 phase locking states in the pair, in terms of a synaptic decaying parameter. We demonstrate transitions of the phase lockings with a small difference in their firing frequencies and different width of an action potential. Spike timing histograms are also observed in the pair with dynamical noise. The slight shifts of a synchronous state effectively induces distribution shifts in the spike timing histogram. This agrees with results observed in physiological experiments.

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Author information

Authors and Affiliations

  1. Frankfurt Institute for Advanced Studies (FIAS), Johann Wolfgang Goethe University, Ruth-Moufang-Str. 1, 60438, Frankfurt am Main, Germany

    Yasuomi D. Sato

  2. Department of Physics, Faculty of Science, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo, 152-0033, Japan

    Yuji Tanaka & Masatoshi Shiino

Authors
  1. Yasuomi D. Sato
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  2. Yuji Tanaka
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  3. Masatoshi Shiino
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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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Sato, Y.D., Tanaka, Y., Shiino, M. (2009). Synchronization Transition in a Pair of Coupled Non-identical Oscillators. 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_106

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  • DOI: https://doi.org/10.1007/978-3-642-02490-0_106

  • 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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