Skip to main content

Front Propagation Into Unstable Media: a Computational Tool

  • Chapter
Nonlinear Wave Processes in Excitable Media

Part of the book series: NATO ASI Series ((NSSB,volume 244))

Abstract

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].

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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.

References

  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. Tyson, J.J. & Keener, J.P. (1988). Physica D32, 327.

    MATH  MathSciNet  Google Scholar 

  3. Sepulchre, J.A., Dewel, G. & Babloyantz, A. Submitted to Phys. Lett. A.

    Google Scholar 

  4. Babloyantz, A., Sepulchre, J.A. & Steels, L. Submitted to Biol. Cyber.

    Google Scholar 

  5. Nicolis, G. & Prigogine, I. (1977). Self-Organisation in Nonequilibrium Systems.

    Google Scholar 

  6. Maginu, K. (1979). J. Diff. Eqs. 31, 130.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. Kubicek, M. & Marek, M. (1983). Computational Methods in Bifurcation Theory and Dissipative Structures. Springer- Verlag: New York.

    Book  MATH  Google Scholar 

  8. Kuramoto, Y. & Tsuzyuki, T. (1975). Prog. Theor. Phys. 54, 687.

    Article  ADS  Google Scholar 

  9. van Saarloos, W. (1988). Phys. Rev. A37, 211.

    Article  MathSciNet  Google Scholar 

  10. van Saarloos, W. (1989). Phys. Rev. A39, 6367.

    Article  MathSciNet  Google Scholar 

  11. Stuart, J.T. & Di Prima, R.C. (1978). Proc. R. Soc. Lond. A362, 27.

    Article  ADS  Google Scholar 

  12. Haken, H. (1988). Neural and Synergetic Computers. Springer: Berlin.

    Book  MATH  Google Scholar 

  13. Hopfield, J.J. (1982). Proc. Natl. Acad. Sci. USA 79, 2554.

    Article  ADS  MathSciNet  Google Scholar 

  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. Grossberg, S. (1976). Biol. Cybernet. 23, 187.

    MATH  MathSciNet  Google Scholar 

  16. Kohonen, T. (1988). Self-Organization and Associative Memory. Springer: Berlin.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media New York

About this chapter

Cite this chapter

Babloyantz, A., Sepulchre, J.A. (1991). Front Propagation Into Unstable Media: a Computational Tool. In: Holden, A.V., Markus, M., Othmer, H.G. (eds) Nonlinear Wave Processes in Excitable Media. NATO ASI Series, vol 244. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3683-7_32

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-3683-7_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-3685-1

  • Online ISBN: 978-1-4899-3683-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics