Skip to main content

Nonlinear Dynamics, Self-Organization and the Symbolic Representation of Complexity

  • Conference paper
From Chemical to Biological Organization

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 39))

  • 195 Accesses

Abstract

Several contributors to this volume produce in their chapters convincing evidence about the usefulness of nonlinear dynamics and self-organization, in the modelling of a variety of concrete problems of relevance in chemistry and biology. In the present chapter we focus on a different aspect. Specifically, we show how nonequilibrium physics and nonlinear dynamics allow us to go one step further than the traditional description of physicochemical and biological systems and set up a symbolic representation in which such concepts as attractors, predictability, probability and information play a prominent role and allow us to better grasp the nature of complexity.

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. J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer, Berlin, Heidelberg 1983)

    MATH  Google Scholar 

  2. P. Gaspard, G. Nicolis: J. Stat. Phys. 31, 499 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. J.S. Nicolis: Dynamics of Hierarchical Systems (Springer, Berlin, Heidelberg 1986)

    Book  MATH  Google Scholar 

  4. H. Haken: Synergetics (Springer, Berlin, Heidelberg 1977)

    Book  Google Scholar 

  5. R. Bowen, D. Ruelle: Inven. Math. 29, 181 (1975)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Ya Sinai: Introduction to Erqodic Theory (Princeton Univ. Press, Princeton, N.J. 1977)

    Google Scholar 

  7. G. Nicolis, C. Nicolis: Phys. Rev. A (1987), submitted

    Google Scholar 

  8. G. Nicolis, G. Rao, S. Rao, C. Nicolis: In Coherence and Chaos in Dynamical Systems (Manchester Univ. Press, 1987)

    Google Scholar 

  9. O. Rössler: Ann. New York Acad. Sci. 316, 376 (1979)

    Article  ADS  Google Scholar 

  10. M. Eigen, P. Schuster: The Hypercycle (Springer, Berlin, Heidelberg 1979)

    Book  Google Scholar 

  11. H. Frisch: Adv. Chem. Phys. 55, 201 (1984)

    Article  Google Scholar 

  12. D. Lipman, W. Wilbur: J. Mol. Biology 163, 363 (1983)

    Article  Google Scholar 

  13. A. Nazarea, D. Bloch, A. Semrau: Proc. Natl. Acad. Sci. USA 82, 5537 (1985)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nicolis, G. (1988). Nonlinear Dynamics, Self-Organization and the Symbolic Representation of Complexity. In: Markus, M., Müller, S.C., Nicolis, G. (eds) From Chemical to Biological Organization. Springer Series in Synergetics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73688-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-73688-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-73690-2

  • Online ISBN: 978-3-642-73688-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics