Nonlinear phenomena in chemical dynamics : proceedings of an international conference, Bordeaux, France, September 7-11, 1981

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Nonlinear phenomena in chemical dynamics : proceedings of an international conference, Bordeaux, France, September 7-11, 1981

editors, C. Vidal and A. Pacault

（Springer series in synergetics, v. 12）

Springer-Verlag, 1981

  • : us
  • : gw
  • : pbk

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English and French

Includes bibliographical references and index

Description and Table of Contents

Volume

: gw ISBN 9783540112945

Description

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.

Table of Contents

  • I. General Nonlinear Behavior.- Phenomenes nonlineaires de la dynamique chimique: allocution d'ouverture.- La Chimie a la croisee des disciplines traditionnelles. Comportements identiques de populations differentes.- Dynamical Systems Described by Discrete Maps with Noise.- Thermokinetic Oscillations and Multistability in Gas-Phase Oxidations.- II. Weak Turbulence.- Chemical Kinetics and Differentiable Dynamical Systems.- Topology of Chaos in a Chemical Reaction.- Experiments on Chaos in a Continuous Stirred Reactor.- Chemical Kinetics as an Experimental Field for Studying the Onset of Turbulence.- Transition vers la turbulence par intermittence.- Bifurcation of Motifs in Families of Mixed Two-Vector Fields.- Bifurcations elementaires-successions et interactions.- Chaos and Chemistry.- Evolution of Chaos and Power Spectra in One-Dimensional Maps.- Tests of the Period-Doubling Route to Chaos.- III. Stochastic Analysis.- Thermal Fluctuations in Nonlinear Chemical Systems.- Fluctuations in Non-Equilibrium Phase Transitions: Critical Behavior.- Critical Exponents of a Pure Noise Induced Transition, Nonlinear Noise and Its Effect on an Electrohydrodynamic Transition in Nematics.- IV. Critical Phenomena.- Critical Slowing Down of Chemical Reactions Near Thermodynamic Critical Points.- Metastability and Nucleation in Chemical Systems with Multiple Steady States.- V. Coupling of Oscillators.- Synchronization of a Chemical Oscillation by Periodic Light Pulses.- Electrically Coupled Belousov-Zhabotinsky Oscillators: A Potential Chaos Generator.- VI. Reaction-Diffusion Problems.- The Rotor as a Phase Singularity of Reaction-Diffusion Problems and Its Possible Role in Sudden Cardiac Death.- Chemical Waves in the Iodate-Arsenous Acid System.- Mecanisme reactionnel fonde sur une etude experimentale expliquant des instabilites interfaciales liees a des reactions chimiques.- VII. Biochemical Processes.- Complex Dynamic Structures.- Two Topics in Chemical Instabilities: I. Periodic Precipitation Processes
  • II. Resonances in Oscillatory Reactions and Glycolysis.- VIII. From Bistability to Oscillations.- Bistability in a C.S.T.R. : New Experimental Examples and Mathematical Modeling.- Chlorite Oscillators: A Result of the Cross-Shaped Phase Diagram Technique.- A New Type of Chemical Oscillator: Potential Oscillation and Bistability on a Platinum Electrode in some Aqueous Hydrogen-Halogen (ATE) Pumped Systems.- Constrained and Continuously Pumped Chemical Systems with Emphasis on Conditions for Bistability.- Perturbation of Bromate Oscillators.- Periodic Reactions with Bromate II: Verification of Selection Criteria of Organic Radicals Oscillating Without Catalysts.- IX. Mathematical Modeling.- On Scaling the Oregonator Equations.- The Behaviour of a Multistable Chemical System Near the Critical Point.- Recent Developments in the Theory of Stoichiometric Networks and Application to the Belousov-Zhabotinsky System.- X. Poster Abstracts.- Stratification Phenomena in Corrosion Scales: Towards a Nonlinear Interpretation.- Nucleation Process in the Two-Dimensional X3 Schlogl Model.- From Bistability to Oscillations: A Phase Diagram Approach. Application to the Belousov-Zhabotinsky Reaction.- Numerical Simulations of Surface Reactions.- On the Preoscillatory Period of the Belousov-Zhabotinsky Reaction: A Search for Intermediates.- Non-Equilibrium Phase Transition of the Intercalation Process.- Pseudo-Steady States in Solid-Liquid Systems.- A + 2B = 3B Kinetics Producing all or Flip or None Stimulus Response in a Cell Model, and Strategies for a Chemical Implementation of such Kinetics.- Topological Order in 2D Chemical Systems.- Bifurcation of Multiple Limit Cycles in Plane Quadratic Mass-Action Systems.- Belousov-Zhabotinsky System: Mechanism of the Ce3+/Bromate Reaction.- The Legitimacy of the Quasi-Steady State Approximation in Enzyme Kinetics: A Singular Perturbation Approach.- Nonlinear Phenomena in Stirred Flow Systems of Mn2+ and Acidic Bromate.- On Phase Transitions in Schlogl's Second Model.- A Nonlinear Phenomenon of Chemical Dynamics in Geology: The Case of Skarns.- The Prepattern Theory of Mitosis: Spatial Dissipative Structures in the 3-Dimensional Sphere.- Mechanistic Study of the Briggs-Rauscher Reaction.- Multiwavelength Analysis of Linear and Nonlinear Kinetics in the CSTR.- Inhomogeneous Fluctuations and Bifurcations in Nonlinear Chemical Systems.- Temperature-Compensated Epigenetic Oscillations: Timing of Cell Division Cycles and Circadian Rhythms?.- Chaotic Behavior of E.H.D. Instability for an Insulating Liquid Subjected to Unipolar Injection.- Effect of Light Intensity Fluctuations on a Real Photochemical Reaction: The Thermoluminescence of Fluorescein in Boric Acid Glass.- Bifurcation Theoric Approach for Strong Field Photodissociation Phenomenon.- A Linear Method to Analyze a Nonlinear Oscillator: Driving the Glycolytic Oscillator by Sinusoidal Temperature Cycles.- Bursting Phenomena in the Belousov-Zhabotinsky Reaction.- Experimental Investigations and Model Simulations for Studying the Influence of Noise and External Disturbances on the Behavior of the Belousov-Zhabotinsky Reaction.- Linearization Procedure and Nonlinear Systems of Differental and Difference Equations.- Reversible and Non-Reversible Modifications of Enzyme Systems Activity by Electric Field.- A Dynamic Regime with Structured Fourier Spectrum.- Index of Contributors.
Volume

: pbk ISBN 9783642817809

Description

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.

Table of Contents

  • I. General Nonlinear Behavior.- Phenomenes nonlineaires de la dynamique chimique: allocution d'ouverture.- La Chimie a la croisee des disciplines traditionnelles. Comportements identiques de populations differentes.- Dynamical Systems Described by Discrete Maps with Noise.- Thermokinetic Oscillations and Multistability in Gas-Phase Oxidations.- II. Weak Turbulence.- Chemical Kinetics and Differentiable Dynamical Systems.- Topology of Chaos in a Chemical Reaction.- Experiments on Chaos in a Continuous Stirred Reactor.- Chemical Kinetics as an Experimental Field for Studying the Onset of Turbulence.- Transition vers la turbulence par intermittence.- Bifurcation of Motifs in Families of Mixed Two-Vector Fields.- Bifurcations elementaires-successions et interactions.- Chaos and Chemistry.- Evolution of Chaos and Power Spectra in One-Dimensional Maps.- Tests of the Period-Doubling Route to Chaos.- III. Stochastic Analysis.- Thermal Fluctuations in Nonlinear Chemical Systems.- Fluctuations in Non-Equilibrium Phase Transitions: Critical Behavior.- Critical Exponents of a Pure Noise Induced Transition, Nonlinear Noise and Its Effect on an Electrohydrodynamic Transition in Nematics.- IV. Critical Phenomena.- Critical Slowing Down of Chemical Reactions Near Thermodynamic Critical Points.- Metastability and Nucleation in Chemical Systems with Multiple Steady States.- V. Coupling of Oscillators.- Synchronization of a Chemical Oscillation by Periodic Light Pulses.- Electrically Coupled Belousov-Zhabotinsky Oscillators: A Potential Chaos Generator.- VI. Reaction-Diffusion Problems.- The Rotor as a Phase Singularity of Reaction-Diffusion Problems and Its Possible Role in Sudden Cardiac Death.- Chemical Waves in the Iodate-Arsenous Acid System.- Mecanisme reactionnel fonde sur une etude experimentale expliquant des instabilites interfaciales liees a des reactions chimiques.- VII. Biochemical Processes.- Complex Dynamic Structures.- Two Topics in Chemical Instabilities: I. Periodic Precipitation Processes
  • II. Resonances in Oscillatory Reactions and Glycolysis.- VIII. From Bistability to Oscillations.- Bistability in a C.S.T.R. : New Experimental Examples and Mathematical Modeling.- Chlorite Oscillators: A Result of the Cross-Shaped Phase Diagram Technique.- A New Type of Chemical Oscillator: Potential Oscillation and Bistability on a Platinum Electrode in some Aqueous Hydrogen-Halogen (ATE) Pumped Systems.- Constrained and Continuously Pumped Chemical Systems with Emphasis on Conditions for Bistability.- Perturbation of Bromate Oscillators.- Periodic Reactions with Bromate II: Verification of Selection Criteria of Organic Radicals Oscillating Without Catalysts.- IX. Mathematical Modeling.- On Scaling the Oregonator Equations.- The Behaviour of a Multistable Chemical System Near the Critical Point.- Recent Developments in the Theory of Stoichiometric Networks and Application to the Belousov-Zhabotinsky System.- X. Poster Abstracts.- Stratification Phenomena in Corrosion Scales: Towards a Nonlinear Interpretation.- Nucleation Process in the Two-Dimensional X3 Schloegl Model.- From Bistability to Oscillations: A Phase Diagram Approach. Application to the Belousov-Zhabotinsky Reaction.- Numerical Simulations of Surface Reactions.- On the Preoscillatory Period of the Belousov-Zhabotinsky Reaction: A Search for Intermediates.- Non-Equilibrium Phase Transition of the Intercalation Process.- Pseudo-Steady States in Solid-Liquid Systems.- A + 2B = 3B Kinetics Producing all or Flip or None Stimulus Response in a Cell Model, and Strategies for a Chemical Implementation of such Kinetics.- Topological Order in 2D Chemical Systems.- Bifurcation of Multiple Limit Cycles in Plane Quadratic Mass-Action Systems.- Belousov-Zhabotinsky System: Mechanism of the Ce3+/Bromate Reaction.- The Legitimacy of the Quasi-Steady State Approximation in Enzyme Kinetics: A Singular Perturbation Approach.- Nonlinear Phenomena in Stirred Flow Systems of Mn2+ and Acidic Bromate.- On Phase Transitions in Schloegl's Second Model.- A Nonlinear Phenomenon of Chemical Dynamics in Geology: The Case of Skarns.- The Prepattern Theory of Mitosis: Spatial Dissipative Structures in the 3-Dimensional Sphere.- Mechanistic Study of the Briggs-Rauscher Reaction.- Multiwavelength Analysis of Linear and Nonlinear Kinetics in the CSTR.- Inhomogeneous Fluctuations and Bifurcations in Nonlinear Chemical Systems.- Temperature-Compensated Epigenetic Oscillations: Timing of Cell Division Cycles and Circadian Rhythms?.- Chaotic Behavior of E.H.D. Instability for an Insulating Liquid Subjected to Unipolar Injection.- Effect of Light Intensity Fluctuations on a Real Photochemical Reaction: The Thermoluminescence of Fluorescein in Boric Acid Glass.- Bifurcation Theoric Approach for Strong Field Photodissociation Phenomenon.- A Linear Method to Analyze a Nonlinear Oscillator: Driving the Glycolytic Oscillator by Sinusoidal Temperature Cycles.- Bursting Phenomena in the Belousov-Zhabotinsky Reaction.- Experimental Investigations and Model Simulations for Studying the Influence of Noise and External Disturbances on the Behavior of the Belousov-Zhabotinsky Reaction.- Linearization Procedure and Nonlinear Systems of Differental and Difference Equations.- Reversible and Non-Reversible Modifications of Enzyme Systems Activity by Electric Field.- A Dynamic Regime with Structured Fourier Spectrum.- Index of Contributors.

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