Skip to main content

Working Memory Dynamics in a Flip-Flop Oscillations Network Model with Milnor Attractor

  • Conference paper
Neural Information Processing (ICONIP 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4984))

Included in the following conference series:

Abstract

A phenomenological model is developed where complex dynamics are the correlate of spatio-temporal memories. If resting is not a classical fixed point attractor but a Milnor attractor, multiple oscillations appear in the dynamics of a coupled system. This model can be helpful for describing brain activity in terms of well classified dynamics and for implementing human-like real-time computation.

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. Varela, F., Lachaux, J.-P., Rodriguez, E., Martinerie, J.: The brainweb: Phase synchronization and large-scale integration. Nature Reviews Neuroscience (2001)

    Google Scholar 

  2. Buzsaki, G., Draguhn, A.: Neuronal oscillations in cortical networks. Science (2004)

    Google Scholar 

  3. Onton, J., Delorme, A., Makeig, S.: Frontal midline EEG dynamics during working memory. NeuroImage (2005)

    Google Scholar 

  4. Mizuhara, H., Yamaguchi, Y.: Human cortical circuits for central executive function emerge by theta phase synchronization. NeuroImage (2004)

    Google Scholar 

  5. Rainer, G., Lee, H., Simpson, G.V., Logothetis, N.K.: Working-memory related theta (4-7Hz) frequency oscillations observed in monkey extrastriate visual cortex. Neurocomputing (2004)

    Google Scholar 

  6. Tsujimoto, T., Shimazu, H., Isomura, Y., Sasaki, K.: Prefrontal theta oscillations associated with hand movements triggered by warning and imperative stimuli in the monkey. Neuroscience Letters (2003)

    Google Scholar 

  7. Goldman-Rakic, P.S.: Cellular basis of working memory. Neuron (1995)

    Google Scholar 

  8. McCormick, D.A.: Neuronal Networks: Flip-Flops in the Brain. Current Biology (2005)

    Google Scholar 

  9. Durstewitz, D., Seamans, J.K., Sejnowski, T.J.: Neurocomputational models of working memory. Nature Neuroscience (2000)

    Google Scholar 

  10. Yamaguchi, Y.: A Theory of hippocampal memory based on theta phase precession. Biological Cybernetics (2003)

    Google Scholar 

  11. Kaneko, K.: Dominance of Minlnor attractors in Globally Coupled Dynamical Systems with more than 7 +- 2 degrees of freedom (retitled from ‘Magic Number 7 +- 2 in Globally Coupled Dynamical Systems’) Physical Review Letters (2002)

    Google Scholar 

  12. Fujii, H., Tsuda, I.: Interneurons: their cognitive roles - A perspective from dynamical systems view. Development and Learning (2005)

    Google Scholar 

  13. Tsuda, I.: Towards an interpretation of dynamic neural activity in terms of chaotic dynamical systems. Behavioural and Brain Sciences (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Masumi Ishikawa Kenji Doya Hiroyuki Miyamoto Takeshi Yamakawa

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Colliaux, D., Yamaguchi, Y., Molter, C., Wagatsuma, H. (2008). Working Memory Dynamics in a Flip-Flop Oscillations Network Model with Milnor Attractor. In: Ishikawa, M., Doya, K., Miyamoto, H., Yamakawa, T. (eds) Neural Information Processing. ICONIP 2007. Lecture Notes in Computer Science, vol 4984. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69158-7_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69158-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69154-9

  • Online ISBN: 978-3-540-69158-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics