Skip to main content
Log in

Dynamics of self-organization in complex adaptive networks

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We study the dynamical behavior of complex adaptive automata during unsupervised learning of periodic training sets. A new technique for their analysis is presented and applied to an adaptive network with distributed memory. We show that with general imput pattern sequences, the system can display behavior that ranges from convergence into simple fixed points and oscillations to chaotic wanderings. We also test the ability of the self-organized automaton to recognize spatial patterns, discriminate between them, and to elicit meaningful information out of noisy inputs. In this configuration we determine that the higher the ratio of excitation to inhibition, the broader the equivalence class into which patterns are put together.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. A. Feldman and D. H. Ballard,Cognitive Science 6:205 (1982) and references therein.

    Google Scholar 

  2. T. Kohonen,Associative Memory (Springer, New York, 1978); see alsoParallel Models of Associative Memory, E. E. Hinton and J. A. Anderson, eds. (L. Elbaum Associates, Hillsdale, New Jersey, 1981).

    Google Scholar 

  3. G. Edelman and B. Mountcastle,The Mindful Brain (MIT Press, Boston, 1978); W. J. Freeman, inSynergetics of the Brain, H. Haken, ed. (Springer, New York, 1983).

    Google Scholar 

  4. V. I. Arnold,Mathematical Methods of Classical Mechanics (Springer, New York, 1978).

    Google Scholar 

  5. F. Rosenblatt,Principles of Neurodynamics (Spartan Books, Washington, D.C., 1962); M. Minsky and S. Papert,Perceptrons (MIT Press, Cambridge, 1969).

    Google Scholar 

  6. J. S. Koford and G. F. Groner,IEEE Trans. Information Theory 12:42 (1966).

    Google Scholar 

  7. K. Fukushima,Systems Computer Controls 6:15 (1975);Tech. Monograph (N.H.K) 30:178 (1981).

    Google Scholar 

  8. M. Osborne,IEEE Trans. Comp. C-26:1302 (1977).

    Google Scholar 

  9. I. Morishita and H. Yajima,Kybernetik 11:154 (1972).

    Google Scholar 

  10. R. Takiyama,Pattern Recognition 15:405 (1982).

    Google Scholar 

  11. J. P. Crutchfield, D. Farmer, and B. A. Huberman,Phys. Rep. 92:45 (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

d'Humières, D., Huberman, B.A. Dynamics of self-organization in complex adaptive networks. J Stat Phys 34, 361–379 (1984). https://doi.org/10.1007/BF01018550

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01018550

Key words

Navigation