Skip to main content

Analysis and Qualitative Modelling of Experimentally Observed Dynamic Features

  • Conference paper
Temporal Order

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 29))

Abstract

Chemically reacting systems may exhibit a variety of dynamic and steady-state multiplicity features. The parameter space is separated by hypersurfaces called bifurcation sets into regions with qualitatively different types of behavior. These sets intersect or coalesce at singular points next to which several states with qualitatively different behavior exist [1–4]. We define a singular point to be a physical center if three or more regions with different observed behavior intersect transversely or one at which two regions intersect tangentially.

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

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. A. A. Andronov, E. A. Leontovich, I. I. Gordon and A. G. Maier: Theory of Bifurcations of Dynamic Systems on a Plane (John Wiley, New York 1973), pp. 253.

    Google Scholar 

  2. Chow S. N. and J. K. Hale: Methods of Bifurcation Theory (Springer-Verlag, New York 1982).

    Book  MATH  Google Scholar 

  3. J. Gukenheimer and P. Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer-Verlag, New York 1983).

    Google Scholar 

  4. M. Golubitsky and D. Schaeffer: Singularities and Groups in Bifurcation Theory (Springer-Verlag, New York 1985).

    MATH  Google Scholar 

  5. I. R. Epstein, K. Kustin, P. De Kepper and M. Orban: Scientific American 248, 112 (1983).

    Article  Google Scholar 

  6. M. P. Harold and D. Luss: Chem. Eng. Sci., to appear (1985).

    Google Scholar 

  7. O. J. Boissonade and P. De Kepper: J. Phys. Chem. 84, 501 (1980).

    Article  Google Scholar 

  8. V. Balakotaiah and D. Luss: Chem. Eng. Sci., 37, 1611 (1982).

    Article  Google Scholar 

  9. V. Balakotaiah and D. Luss: Chem. Eng. Sci., 38, 1709 (1983).

    Article  Google Scholar 

  10. V. Balakotaiah and D. Luss: Chem. Eng. Sci., 39, 685 (1984).

    Google Scholar 

  11. R. Plichta and R. A. Schmitz: Chem. Eng. Commun. 3, 387 (1979).

    Article  Google Scholar 

  12. M. Sheintuch and D. Luss: Ind. Eng. Chem. Fundls. 22, 109 (1983).

    Google Scholar 

  13. M. Sheintuch and D. Luss: Chem. Eng. Sci., to appear (1985).

    Google Scholar 

  14. M. Sheintuch and D. Luss: in preparation.

    Google Scholar 

  15. L. Pismen: Chem. Eng. Sci., 39, 1063 (1984).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sheintuch, M., Luss, D. (1985). Analysis and Qualitative Modelling of Experimentally Observed Dynamic Features. In: Rensing, L., Jaeger, N.I. (eds) Temporal Order. Springer Series in Synergetics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70332-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-70332-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70334-8

  • Online ISBN: 978-3-642-70332-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics