Front Propagation Into Unstable Media: a Computational Tool

  • A. Babloyantz
  • J. A. Sepulchre
Part of the NATO ASI Series book series (NSSB, volume 244)


Travelling waves in chemical and electrical active media have been observed experimentally as well as in model systems [1]. More recent advances in this field are reported in various contributions to this volume. However the majority of numerical and theoretical approaches in this field have been devoted to the excitable or bistable media [2].


Phase Wave Couple Oscillator Front Propagation Target Wave Perturbation Centre 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    For a review see: Field, R.J. & Burgers, M. (eds.) (1985). Oscillations and Traveling Waves in Chemical Systems. Wiley: New York.Google Scholar
  2. [2]
    Tyson, J.J. & Keener, J.P. (1988). Physica D32, 327.zbMATHMathSciNetGoogle Scholar
  3. [3]
    Sepulchre, J.A., Dewel, G. & Babloyantz, A. Submitted to Phys. Lett. A. Google Scholar
  4. [4]
    Babloyantz, A., Sepulchre, J.A. & Steels, L. Submitted to Biol. Cyber. Google Scholar
  5. [5]
    Nicolis, G. & Prigogine, I. (1977). Self-Organisation in Nonequilibrium Systems. Google Scholar
  6. [6]
    Maginu, K. (1979). J. Diff. Eqs. 31, 130.ADSCrossRefzbMATHMathSciNetGoogle Scholar
  7. [7]
    Kubicek, M. & Marek, M. (1983). Computational Methods in Bifurcation Theory and Dissipative Structures. Springer- Verlag: New York.CrossRefzbMATHGoogle Scholar
  8. [8]
    Kuramoto, Y. & Tsuzyuki, T. (1975). Prog. Theor. Phys. 54, 687.ADSCrossRefGoogle Scholar
  9. [9]
    van Saarloos, W. (1988). Phys. Rev. A37, 211.CrossRefMathSciNetGoogle Scholar
  10. [10]
    van Saarloos, W. (1989). Phys. Rev. A39, 6367.CrossRefMathSciNetGoogle Scholar
  11. [11]
    Stuart, J.T. & Di Prima, R.C. (1978). Proc. R. Soc. Lond. A362, 27.ADSCrossRefGoogle Scholar
  12. [12]
    Haken, H. (1988). Neural and Synergetic Computers. Springer: Berlin.CrossRefzbMATHGoogle Scholar
  13. [13]
    Hopfield, J.J. (1982). Proc. Natl. Acad. Sci. USA 79, 2554.ADSCrossRefMathSciNetGoogle Scholar
  14. [14]
    Rumelhart, D.E., Hinton, D.E.’ & Williams, R.J. (1986). In Parallel Distributed Processing, Explorations in the Microstructure of Cognition, Vol. I. MIT Press: Cambridge, Mass.Google Scholar
  15. [15]
    Grossberg, S. (1976). Biol. Cybernet. 23, 187.zbMATHMathSciNetGoogle Scholar
  16. [16]
    Kohonen, T. (1988). Self-Organization and Associative Memory. Springer: Berlin.CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • A. Babloyantz
    • 1
  • J. A. Sepulchre
    • 2
  1. 1.Université Libre de BruxellesBoulevard du TriompheBelgium
  2. 2.Institut pour l’EncouragementRecherche Scientifique dans l’Industrie et l’AgricultureBelgium

Personalised recommendations