Abstract
This paper discusses how the interdisciplinary field of synergetics may enable us to interpret physiological data on heart beat, blood circulation, breathing, EEGs, etc. and to model the underlying processes. It is argued that physiological systems are close to instability points, which allows the systems to adapt to new situations rapidly. At those instability points even the complex dynamics of multicomponent systems may be described by just a few variables, the so-called order parameters. These order parameters either move on a low-dimensional attractor, perform transients towards an attractor or undergo transitions between attractor states. These observations cast new light on dimension analysis used in chaos theory and give hints about how one may model these physiological processes. Emphasis is laid on the possibility of various couplings between oscillators. Such couplings may combine stability in amplitude with adaptability in phase.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
H.P. Koepchen, these proceedings, with many further references
H. Haken, Synergetics, An Introduction, 3rd ed., Springer, Berlin (1983)
H. Haken, Advanced Synergetics, Instability Hierarchies of Self-Organizing Systems and Devices. Springer, Berlin (1983)
H. Haken and H. Olbrich, J. Math. Biol. 6, 317 (1978)
C. Berding and H. Haken, J. Math. Biol. 14, 133 (1982)
H. Haken, J.A.S. Kelso, H. Bunz, Biol. Cybern. 51, 347–356 (1985)
G. Schöner, H. Haken, J.A.S. Kelso, Biol. Cybern. 53, 247 (1986)
Fuchs, R. Friedrich, H. Haken, and D. Lehmann, in Computational Systems – Natural and Artificial, ed. by H. Haken, Springer, Berlin (1987)
[6b]R. Friedrich, A. Fuchs, and H. Haken, Modelling of Spatio– Temporal EEG Patterns, Proceedings of the workshop “Mathematical Approaches to Brain Functioning Diagnostics”, ed. by A. Holden, to appear in: Manchester University Press Series; Proceedings in Nonlinear Science
T. Ditzinger, H. Haken, Biol. Cybern. 61, 279–287 (1989); 63, 453–456 (1990)
E. Basar, H. Flohr, H. Haken, and A.J. Mandell, (eds.), Synergetics of the Brain, Springer, Berlin (1983)
H. Haken and M. Stadler, (eds.), Synergetics of Cognition, Springer, Berlin (1990)
H. Haken, Synergetics, the Science of Structure, Van Nostrand Reinhold, New York (1984)
H.G. Schuster, Deterministic Chaos, 2nd ed., VCH Verlag, Weinheim (1989)
[12]M. Schanz, H. Haken, H. P. Koepchen, to be published
P. Grassberger, I. Procaccia, Physica 9D, 189 (1983)
J.A.S. Kelso, these proceedings, with further references
R. Friedrich, A. Fuchs, and H. Haken, these proceedings,, with further references
J.P. Eckmann and D. Ruelle, preprint IHES/P/90/11
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Haken, H. (1991). Synergetics – Can It Help Physiology. In: Haken, H., Koepchen, H.P. (eds) Rhythms in Physiological Systems. Springer Series in Synergetics, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76877-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-76877-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76879-8
Online ISBN: 978-3-642-76877-4
eBook Packages: Springer Book Archive