Skip to main content

A Pulse-Coupled Network of SOM

  • Conference paper
Neural Information Processing (ICONIP 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5864))

Included in the following conference series:

Abstract

In this paper, we present a resonate-and-fire type spiking neuron model and analyze its stability of synchronization phenomena to an input spike train. We also present a parameter update rule to memorize a period of input spike train and analyze its pull-in process. Then we present a pulse-coupled network of the proposed model and show that the proposed network and a Kohonen’s SOM has similar functions. And we make comparisons to a network of another resonate-and-fire type neuron model and show superiority of the proposed model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hodgkin, A.L., Huxley, F.D.: A quantitative description of membrane current and application to conduction and excitation in nerve. J. Physiol. 117, 500–544 (1954)

    Google Scholar 

  2. Izhikevich, E.M.: Resonate-and-fire neuron. Neural Networks 14, 883–894 (2001)

    Article  Google Scholar 

  3. Izhikevich, E.M.: Which Model to Use for Cortical Spiking Neurons. IEEE Transactions on Neural Networks 14, 1569–1572 (2003)

    Article  Google Scholar 

  4. Izhikevich, E.M.: Dynamical Systems in Neuroscience. MIT Press, Cambridge (2007)

    Google Scholar 

  5. Mitsubori, K., Saito, T.: Dependent switched capacitor chaos generator and its synchronization. IEEE Trans. Circuit Syst. I 44(12), 1122–1128 (1997)

    Article  MathSciNet  Google Scholar 

  6. Miyachi, K., Nakano, H., Saito, T.: Response of a simple dependent switched capacitor circuit to a pulse-train input. IEEE Trans. Circuits Syst. I 50(9), 1180–1187 (2003)

    Article  MathSciNet  Google Scholar 

  7. Inagaki, T., Saito, T.: Consistency in a chaotic spiking oscillator. IEICE Trans. Fundamentals, E91-A 8, 2040–2043 (2008)

    Google Scholar 

  8. Kinoshita, K., Torikai, H.: A spiking neuron model and its pulse-coupled network of a self-organizing map. In: NOLTA 2009 (2009 International Symposium on Nonlinear Theory and its Applications), Paper ID 4040 (2009)

    Google Scholar 

  9. Izhikevich, E.M.: Synchronization of MEMS Resonators and Mechanical Neurocomputing. IEEE Transactions on Circuits and Systems I 48, 133–138 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  10. Izhikevich, E.M.: Weakly Pulse-Coupled Oscillators, FM Interactions, Synchronization, and Oscillatory Associative Memory. IEEE Transactions on Neural Networks 10, 508–526 (1999)

    Article  Google Scholar 

  11. Nakano, H., Saito, T.: Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators. IEEE Trans. Neural Networks 15(5), 1018–1026 (2004)

    Article  Google Scholar 

  12. Kohonen, T.: Self Organizing Maps. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  13. Hikawa, H.: FPGA implementation of self organizing map with digital phase locked loops. Neural Networks 18, 514–522 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kinoshita, K., Torikai, H. (2009). A Pulse-Coupled Network of SOM. In: Leung, C.S., Lee, M., Chan, J.H. (eds) Neural Information Processing. ICONIP 2009. Lecture Notes in Computer Science, vol 5864. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10684-2_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-10684-2_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10682-8

  • Online ISBN: 978-3-642-10684-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics