Nonlinear Phenomena in Chemical Dynamics

1. Front Matter

   Pages I-X

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2. General Nonlinear Behavior

   1. Front Matter

      Pages 1-1

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   2. Phenomenes nonlineaires de la dynamique chimique: allocution d‘ouverture

      • Paul Glansdorff

      Pages 2-4

   3. La Chimie á la croisée des disciplines traditionnelles. Comportements identiques de populations différentes

      • A. Pacault, F. Carmona, J. J. Piaud

      Pages 5-14

   4. Dynamical Systems Described by Discrete Maps with Noise

      • H. Haken, A. Wunderlin

      Pages 15-19

   5. Thermokinetic Oscillations and Multistability in Gas-Phase Oxidations

      • Peter Gray, John F. Griffiths, Stephen M. Hasko

      Pages 20-28

3. Weak Turbulence

   1. Front Matter

      Pages 29-29

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   2. Chemical Kinetics and Differentiable Dynamical Systems

      • David Ruelle

      Pages 30-37

   3. Topology of Chaos in a Chemical Reaction

      • J. C. Roux, Harry L. Swinney

      Pages 38-43

   4. Experiments on Chaos in a Continuous Stirred Reactor

      • J. L. Hudson, J. Mankin, J. McCullough, P. Lamba

      Pages 44-48

   5. Chemical Kinetics as an Experimental Field for Studying the Onset of Turbulence

      • C. Vidal

      Pages 49-62

   6. Transition vers la turbulence par intermittence

      • Y. Pomeau

      Pages 63-66

   7. Bifurcation of Motifs in Families of Mixed Two-Vector Field

      • C. Lobry, R. Lozi

      Pages 67-70

   8. Bifurcations élémentaires — successions et interactions

      • Gérard Iooss

      Pages 71-78

   9. Chaos and Chemistry

      • Otto E. Rössler

      Pages 79-87

   10. Evolution of Chaos and Power Spectra in One-Dimensional Maps

       • Hazime Mori

       Pages 88-94

   11. Tests of the Period-Doubling Route to Chaos

       • Mitchell J. Feigenbaum

       Pages 95-102

4. Stochastic Analysis

   1. Front Matter

      Pages 103-103

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   2. Thermal Fluctuations in Nonlinear Chemical Systems

      • G. Nìcolis, F. Baras, M. Malek Mansour

      Pages 104-114

   3. Fluctuations in Non-Equillibrium Phase Transitions: Critical Behavior

      • P. Hanusse

      Pages 115-119

An international conference. titled Nonlinear Phenomena in Chemical Dynamics was held in Bordeaux on September 7-11, 1981. The present volume contains the text of lectures and abstracts of posters presented during the meeting. This conference is part of a series of scientific multidisciplinary meetings in which chemistry is involved at various levels. Amongst the most recent ones let us mention Aachen 1979, Bielefeld 1979, New York 1979, Elmau 1981. In addition, this meeting is a direct extension of the first one that took place in Bordeaux in 1978 on the topic "Far from equilibrium: instabilities and structures," at the conclusions of which we could write (cf. Far fram Equilibrium, Springer Series in Synergetics, Vol. 3): "The three key words, far fram equilibriUm, instabilities and structuPes, best illustrate the new concepts which emerge from the description of the dynamics of various systems relevant to many different research areas. " The present proceedings show how much these remarks have remained true, even though substantial progress has been achieved during the three last years. To get a ,deeper experimental knowledge of open reacting systems, to model and simulate reaction-diffusion systems, to develop the mathematical theory of dynamical sys­ tems, these are the main direction~ in current investigations.

• Diffusion
• Potential
• bifurcation
• catalyst
• chaos
• chemical reaction
• dynamical system
• equilibrium
• kinetics
• nonlinear system
• phase diagram
• phase transition
• structure
• topology
• turbulence

• Centre de Recherches Paul Pascal, Domaine Universitaire, Talence Cédex, France

  Christian Vidal, Adolphe Pacault

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