Skip to main content

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 50))

  • 602 Accesses

Abstract

In previous chapters we have developed mathematical models that can reproduce cognitive abilities and can be implemented on serial or certain kinds of parallel computers. In this chapter we will go one step further: we shall investigate the extent to which such models can be linked to the properties of neurones that have been studied experimentally in a number of animals. It is not our task here to present all the physiological details; we merely discuss a few salient features which are decisive for the functioning of neurones within the neural network of a brain.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Reference

  • R. Eckhorn, H.J. Reitböck: In Synergetics of Cognition, ed. by H. Haken, M. Stadler, Springer Ser. Syn. Vol. 45 ( Springer, Berlin, Heidelberg 1990 )

    Google Scholar 

  • W.J. Freeman: ibid

    Google Scholar 

  • C.M. Gray, P. König, A.K. Engel, W. Singer: ibid

    Google Scholar 

  • H.J. Reitböck, R. Eckhorn, M. Arndt, P. Dicke: ibid

    Google Scholar 

  • Further references may be found in the above contributions

    Google Scholar 

  • The main results of these sections are based on unpublished work by the author.

    Google Scholar 

  • H. Haken: Brain dynamics, Synchronization and activity patterns in pulse-coupled neural nets with delays and noise ( Springer, Berlin, 2002 )

    MATH  Google Scholar 

  • Y. Kuramoto: Chemical oscillations, waves, and turbulence (Springer, Berlin, 1984) Y. Kuramoto, I. Nishikawa: J. Stat. Phys. 49, 569 (1987)

    Google Scholar 

  • Y. Kuramoto: Physica D 50, 15 (1991)

    Article  ADS  MATH  Google Scholar 

  • R.E. Mirollo, S.H. Strogatz: Synchronization of pulse-coupled biological oscillators, SIAM J. Appl. Math. 50, 1645–1662 (1990)

    MathSciNet  MATH  Google Scholar 

  • C.S. Peskin: Mathematical aspects of heart physiology, Courant Institute of Mathematical Sciences, New York University, New York, 268–278 (1975)

    Google Scholar 

  • S.M. Strogatz: From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators, Physica D 143 (2000)

    Google Scholar 

  • A.K. Sturz, P. König: Mechanisms for synchronization of neuronal activity, Biol. Cybern. 84, 153 (2001)

    Article  Google Scholar 

  • P. Tass: Phase resetting in medicine and biology — stochastic modelling and data-analysis ( Springer, Berlin, 1999 )

    MATH  Google Scholar 

  • For a general survey on phase synchronization see the papers in the volumes 10, Ns. 10 and 11 (2000) in the Int. J. of Bifurcation and Chaos, on phase synchronization and its applications. Guest editor: Jürgen Kurths

    Google Scholar 

  • H. Haken: Brain dynamics. Synchronization and activity patterns in pulse-coupled neural nets with delays and noise ( Springer, Berlin, 2002 )

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Haken, H. (2004). Towards the Neural Level. In: Synergetic Computers and Cognition. Springer Series in Synergetics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10182-7_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-10182-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07573-5

  • Online ISBN: 978-3-662-10182-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics