Nonlinear Phenomena in Chemical Dynamics
Springer Berlin (Verlag)
978-3-642-81780-9 (ISBN)
I. General Nonlinear Behavior.- Phenomenes nonlineaires de la dynamique chimique: allocution d'ouverture.- La Chimie á la croisée des disciplines traditionnelles. Comportements identiques de populations différentes.- 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 élémentaires-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.- Mécanisme réactionnel fondésur une étude expérimentale expliquant des instabilités interfaciales liées á des réactions 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 Schlögl 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 Strategiesfor 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 Schlögl'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 DynamicRegime with Structured Fourier Spectrum.- Index of Contributors.
Erscheint lt. Verlag | 8.12.2011 |
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Reihe/Serie | Springer Series in Synergetics |
Zusatzinfo | X, 282 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 170 x 244 mm |
Gewicht | 514 g |
Themenwelt | Naturwissenschaften ► Chemie ► Physikalische Chemie |
Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
Schlagworte | Bifurcation • catalyst • Chaos • chemical reaction • Chemische Reaktion • Diffusion • Dynamical system • Dynamics • Equilibrium • Kinetics • nonlinear system • Phase diagram • phase transition • Phenomena • Potential • Structure • Synergetik • Topology • Turbulence |
ISBN-10 | 3-642-81780-7 / 3642817807 |
ISBN-13 | 978-3-642-81780-9 / 9783642817809 |
Zustand | Neuware |
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