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CHAOS IN CHEMISTRY AND BIOCHEMISTRY

edited by Richard J Field (Univ. Montana) & László Györgyi (Eötvös Loránd Univ.)

True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.


Contents:

  • Mathematics of Chaos in Perturbed Oscillators (W R Derrick)
  • Dynamical Systems Theory Illustrated: Chaotic Behavior in the Belousov-Zhabotinsky Reaction (J-C Roux)
  • Modeling and Interpretation of Chaos in the Belousov-Zhabotinsky Reaction (L Györgyi & R J Field)
  • Chaos in Forced and Coupled Chemical Oscillators and Excitators (M Marek & I Schreiber)
  • Chaos in Electrochemical Systems (J L Hudson)
  • Chaos in Surface-Catalyzed Reactions (M Eiswirth)
  • Chaos in Biochemical Systems: The Peroxidase Reaction as a Case Study (R Larter et al.)
  • A New Theoretical Approach to the Description of Physico-Chemical Reaction Dynamics with Chaotic Behavior (V Gontar)
  • From Periodicity Behavior to Chaos in Biochemical Systems (A Goldbeter)


Readership: Research workers at undergraduates and higher levels.

304pp Pub. date: Mar 1993
ISBN 981-02-1024-8 US$86 / £60


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 23 July 2008