Chaos and Turbulence

  • Tomas Bohr
Part of the NATO ASI Series book series (NSSB, volume 218)


The lecture notes presented here are an attempt at giving a coherent introduction to some concepts which are not usually presented together. “Low dimensional chaos” is, despite its recent absorption into the physics community, becoming a reasonably mature subject. At least one now knows practical ways of quantifying “chaos”, one has an understanding of the underlying fractal geometry and for certain special cases one even has strong theoretical results. Turbulence, on the other hand, is an extremely ramified subject and, especially from the experimental side, rather well-studied, largely because of its many technical applications from refrigerators to airplanes. In these lectures the word “turbulence” will be used in a rather general sense, not limited to the motion of fluids. We shall use it to describe motion which is irregular both in space and time as distinguished from the word “chaos” which is usually used about the irregular temporal motion of a single (or a few) variables. This means that we can talk about turbulence in chemical reactions, dynamical interphases and many other nonhydrodynamical situations.


Fractal Dimension Lyapunov Exponent Chaotic Motion Turbulent State Strange Attractor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Tomas Bohr
    • 1
  1. 1.The Niels Bohr InstituteCopenhagenDenmark

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