Skip to main content

Path Finding with a Network of Oscillators

  • Conference paper
Book cover Evolution of Dynamical Structures in Complex Systems

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 69))

  • 114 Accesses

Abstract

The self-organizing properties of reaction-diffusion systems kept far from equilibrium have been the focus of much interest for several decades [1, 2, 3]. Experiments as well as numerical and analytical works have demonstrated the existence of self-organized collective behaviour in the form of spatial and spatio-temporal phenomena [4].

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. G. Nicolis and I. Prigogine: Self-organisation in Non-equilibrium Systems. Wiley, New York (1977)

    Google Scholar 

  2. H. Haken: Advanced Synergetics, Springer, Berlin (1983)

    MATH  Google Scholar 

  3. A. Babloyantz: Molecules, Dynamics and Life, Wiley, New York (1986)

    Google Scholar 

  4. For a recent overview, see e.g., Special Issue of Physica D, Vol. 49 (1991) Nos. 1 and 2, Selected papers from a meeting held in Pushchino, USSR, 28 May-1 June 1990, H.L. Swinney and V. I. Krinsky, ( Eds )

    Google Scholar 

  5. V. Castet, E. Dulos, J. Boissonade and P. De Kepper, Phys. Rev. Lett. 64 (1990) 2953

    Google Scholar 

  6. A. Destexhe and A. Babloyantz, Deterministic chaos in a model of the thalamocortical system in: Self-Organization, Emerging Properties and Learning, A. Babloyantz (Ed.), New York, Plenum Press, ARW Series (1991)

    Google Scholar 

  7. H. Haken in: Neural and Synergetic Computers, H. Haken (Ed.), Springer, Berlin (1988)

    Google Scholar 

  8. J.A. Sepulchre and A. Babloyantz, Propagation of target waves in the Presence of Obstacles, Phys. Rev. Lett. 66 (1991) 1314

    Google Scholar 

  9. J.A. Sepulchre, G. Dewel and A. Babloyantz, Propagation into Unstable States: The Direct Hopf Bifurcation, Phys. Lett. A 147 (1990) 380

    Article  ADS  MathSciNet  Google Scholar 

  10. P.S. Hagan, Spiral waves in Reaction-Diffusion Equations, SIAM J. Appl. Math. 42 (1982) 762

    MATH  MathSciNet  Google Scholar 

  11. J.A. Sepulchre and A. Babloyantz, in preparation.

    Google Scholar 

  12. A. Destexhe and A. Babloyantz, Pacemaker-induced coherence in cortical networks, Neural Comp. 3 (1991) 145

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin, Heidelberg

About this paper

Cite this paper

Babloyantz, A., Sepulchre, J.A. (1992). Path Finding with a Network of Oscillators. In: Friedrich, R., Wunderlin, A. (eds) Evolution of Dynamical Structures in Complex Systems. Springer Proceedings in Physics, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84781-3_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84781-3_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84783-7

  • Online ISBN: 978-3-642-84781-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics