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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer, Berlin, Heidelberg 1983)
P. Gaspard, G. Nicolis: J. Stat. Phys. 31, 499 (1983)
J.S. Nicolis: Dynamics of Hierarchical Systems (Springer, Berlin, Heidelberg 1986)
H. Haken: Synergetics (Springer, Berlin, Heidelberg 1977)
R. Bowen, D. Ruelle: Inven. Math. 29, 181 (1975)
Ya Sinai: Introduction to Erqodic Theory (Princeton Univ. Press, Princeton, N.J. 1977)
G. Nicolis, C. Nicolis: Phys. Rev. A (1987), submitted
G. Nicolis, G. Rao, S. Rao, C. Nicolis: In Coherence and Chaos in Dynamical Systems (Manchester Univ. Press, 1987)
O. Rössler: Ann. New York Acad. Sci. 316, 376 (1979)
M. Eigen, P. Schuster: The Hypercycle (Springer, Berlin, Heidelberg 1979)
H. Frisch: Adv. Chem. Phys. 55, 201 (1984)
D. Lipman, W. Wilbur: J. Mol. Biology 163, 363 (1983)
A. Nazarea, D. Bloch, A. Semrau: Proc. Natl. Acad. Sci. USA 82, 5537 (1985)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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