Chemical Oscillations Waves And Turbulence

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Chemical Oscillations, Waves, and Turbulence

Author : Y. Kuramoto
Publisher : Springer Science & Business Media
Page : 165 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642696893

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Chemical Oscillations, Waves, and Turbulence by Y. Kuramoto Pdf

Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid ing principle would be highly desirable. In this connection, this book pushes for ward a particular physical viewpoint based on the slaving principle. The dis covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem onstrated in tbis book for the fields of coupled nonlinear oscillators.

Chemical Chaos

Author : Stephen K. Scott
Publisher : Oxford University Press
Page : 484 pages
File Size : 48,7 Mb
Release : 1993
Category : Science
ISBN : 0198556586

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Chemical Chaos by Stephen K. Scott Pdf

Table of contents: 1. Introduction. 2. Mappings. 3. Flows. 1. Two-variable systems. 4. Flows II. Three-vairable systems. 5. Forced systems. 6. Coupled systems. 7.Experimental methods. 8. The Belousov-Zhabotinskii reaction and other solution-phase reactions. 9. Gas-phase reactions. 10. Heterogeneous catalysis. 11. Electrodissolution reactions. 12. Biochemical systems. Index.

Chemical Waves and Patterns

Author : Raymond Kapral,K. Showalter
Publisher : Springer Science & Business Media
Page : 641 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401111560

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Chemical Waves and Patterns by Raymond Kapral,K. Showalter Pdf

The concept of macroscopic waves and patterns developing from chemical reaction coupling with diffusion was presented, apparently for the first time, at the Main Meeting of the Deutsche Bunsengesellschaft fur Angewandte Physikalische Chemie, held in Dresden, Germany from May 21 to 24, 1906. Robert Luther, Director of the Physical Chemistry Laboratory in Leipzig, read his paper on the discovery and analysis of propagating reaction-diffusion fronts in autocatalytic chemical reactions [1, 2]. He presented an equation for the velocity of these new waves, V = a(KDC)1/2, and asserted that they might have features in common with propagating action potentials in nerve cell axons. During the discussion period, a skeptic in the audience voiced his objections to this notion. It was none other than the great physical chemist Walther Nernst, who believed that nerve impulse propagation was far too rapid to be akin to the propagating fronts. He was also not willing to accept Luther's wave velocity equation without a derivation. Luther stood his ground, saying his equation was "a simple consequence of the corresponding differential equation. " He described several different autocatalytic reactions that exhibit propagating fronts (recommending gelling the solution to prevent convection) and even presented a demonstration: the autocatalytic permanganate oxidation of oxalate was carried out in a test tube with the image of the front projected onto a screen for the audience.

The Geometry of Biological Time

Author : Arthur T. Winfree
Publisher : Springer Science & Business Media
Page : 802 pages
File Size : 55,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475734843

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The Geometry of Biological Time by Arthur T. Winfree Pdf

Dealing with dynamics of processes that repeat themselves regularly, this revised and updated edition extends the thread from 1980 to the present day, concentrating on areas of interest where there will be much activity in the future. This involves going through spatial biochemical, electrophysiological, and organismic dynamical systems and patterns that were discovered by pursuing the theme of phase singularities introduced in the original book. In particular the work on excitability in cell membranes will be thoroughly updated as will the references throughout the book.

Multidimensional Strange Attractors and Turbulence

Author : I. S. Aranson,Mikhail Izrailevich Rabinovich,M. I. Rabinovich,V. S. Afraimovich
Publisher : CRC Press
Page : 94 pages
File Size : 49,5 Mb
Release : 1989
Category : Mathematics
ISBN : 3718648687

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Multidimensional Strange Attractors and Turbulence by I. S. Aranson,Mikhail Izrailevich Rabinovich,M. I. Rabinovich,V. S. Afraimovich Pdf

The authors explore the origin of multidimensional strange attractors and their role in describing turbulence. It includes an analytical estimation of the deminsions of strange attractors for models described by differential-difference equations and discusses the conditions in which space-homogeneous chaos is stable with respect to random perturbations in flow systems.

Dissipative Structures and Weak Turbulence

Author : Anonim
Publisher : Academic Press
Page : 505 pages
File Size : 54,9 Mb
Release : 2014-06-28
Category : Science
ISBN : 9780080924458

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Dissipative Structures and Weak Turbulence by Anonim Pdf

Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Pattern Formations and Oscillatory Phenomena

Author : Jun Miyazaki
Publisher : Elsevier Inc. Chapters
Page : 280 pages
File Size : 53,9 Mb
Release : 2013-05-09
Category : Medical
ISBN : 9780128061572

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Pattern Formations and Oscillatory Phenomena by Jun Miyazaki Pdf

In this chapter, temporal and spatial patterns observed in the Belousov–Zhabotinsky (BZ) reaction are described, which is a typical nonlinear chemical reaction system that exhibits oscillation and wave propagation. Some related phenomena in biological systems are presented. The underlying mechanism and modeling of oscillation based on chemical equations are then introduced. Reaction diffusion equations are derived and numerical simulations are performed based on the model to explain how the dynamical pattern appears. Finally, synchronous phenomena observed in the BZ reaction are described with an analytical method based on the phase model.

Pattern Formations and Oscillatory Phenomena

Author : Shuichi Kinoshita
Publisher : Newnes
Page : 274 pages
File Size : 49,9 Mb
Release : 2013-05-09
Category : Science
ISBN : 9780123972996

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Pattern Formations and Oscillatory Phenomena by Shuichi Kinoshita Pdf

Patterns and their formations appear throughout nature, and are studied to analyze different problems in science and make predictions across a wide range of disciplines including biology, physics, mathematics, chemistry, material science, and nanoscience. With the emergence of nanoscience and the ability for researchers and scientists to study living systems at the biological level, pattern formation research has become even more essential. This book is an accessible first of its kind guide for scientists, researchers, engineers, and students who require a general introduction to this research area, in order to gain a deeper analytical understanding of the most recent observations and experiments by top researchers in physics. Pattern Formations describes the most up-to-date status of this developing field and analyzes the physical phenomena behind a wide range of interesting topics commonly known in the scientific community. The study of pattern formations as a research field will continue to grow as scientists expand their understanding of naturally occurring patterns and mimic nature to help solve complex problems. This research area is becoming more highly recognized due to its contributions to signal processing, computer analysis, image processing, complex networks development, advancements in optics and photonics, crystallography, metallurgy, drug delivery (chemotherapy) and the further understanding of gene regulation. The only introductory reference book which places special emphasis on the theoretical analyses of experiments in this rapidly growing field of pattern formation A wide range of physical applications make this book highly interdisciplinary Explanations of observations and experiments deepen the readers understanding of this developing research field

Spatio-Temporal Pattern Formation

Author : Daniel Walgraef
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461218500

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Spatio-Temporal Pattern Formation by Daniel Walgraef Pdf

Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.

Handbook of Chaos Control

Author : Eckehard Schöll,Heinz Georg Schuster
Publisher : John Wiley & Sons
Page : 849 pages
File Size : 52,7 Mb
Release : 2008-09-08
Category : Science
ISBN : 9783527622320

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Handbook of Chaos Control by Eckehard Schöll,Heinz Georg Schuster Pdf

This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.

Perspectives of Nonlinear Dynamics: Volume 1

Author : E. Atlee Jackson
Publisher : CUP Archive
Page : 532 pages
File Size : 47,8 Mb
Release : 1989
Category : Mathematics
ISBN : 0521426324

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Perspectives of Nonlinear Dynamics: Volume 1 by E. Atlee Jackson Pdf

The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

Reviews in Computational Chemistry, Volume 20

Author : Kenny B. Lipkowitz,Raima Larter,Thomas R. Cundari,Donald B. Boyd
Publisher : John Wiley & Sons
Page : 485 pages
File Size : 46,6 Mb
Release : 2004-08-16
Category : Science
ISBN : 9780471678847

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Reviews in Computational Chemistry, Volume 20 by Kenny B. Lipkowitz,Raima Larter,Thomas R. Cundari,Donald B. Boyd Pdf

THIS VOLUME, LIKE THOSE PRIOR TO IT, FEATURES CHAPTERS BY EXPERTS IN VARIOUS FIELDS OF COMPUTATIONAL CHEMISTRY. TOPICS COVERED IN VOLUME 20 INCLUDE VALENCE THEORY, ITS HISTORY, FUNDAMENTALS, AND APPLICATIONS; MODELING OF SPIN-FORBIDDEN REACTIONS; CALCULATION OF THE ELECTRONIC SPECTRA OF LARGE MOLECULES; SIMULATING CHEMICAL WAVES AND PATTERNS; FUZZY SOFT-COMPUTING METHODS AND THEIR APPLICATIONS IN CHEMISTRY; AND DEVELOPMENT OF COMPUTATIONAL MODELS FOR ENZYMES, TRANSPORTERS, CHANNELS, AND RECEPTORS RELEVANT TO ADME/TOX. FROM REVIEWS OF THE SERIES "Reviews in Computational Chemistry remains the most valuable reference to methods and techniques in computational chemistry." -JOURNAL OF MOLECULAR GRAPHICS AND MODELING "One cannot generally do better than to try to find an appropriate article in the highly successful Reviews in Computational Chemistry. The basic philosophy of the editors seems to be to help the authors produce chapters that are complete, accurate, clear, and accessible to experimentalists (in particular) and other nonspecialists (in general)." -JOURNAL OF THE AMERICAN CHEMICAL SOCIETY

Temporal Order

Author : L. Rensing,N.I. Jaeger
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642703324

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Temporal Order by L. Rensing,N.I. Jaeger Pdf

This volume contains the lectures and contributions presented at the International Symposium on Temporal Order held in Bremen, September 17-22, 1984. Temporal order, such as a more or less regularly repeated temporal sequence of events, can evol ve in open systems far removed from equi 1 i bri um. Progress duri ng the last decade in the analysis and the modelling of this complex phenomenon in both biological and chemical systems gave rise to the idea of a joint conference. The purpose of the symposium was to stimulate future work by enhancing the exchange of experimental and theoretical results between neighbouring disciplines. Theoretical work in general, and mathematical models in particular, provided the basis for a mutual discussion and, thus, helped to overcome difficulties in under standing the results of different experimental fields. Chemical systems, for examp le, are more rigorously controllable through their experimental conditions in com parison to biological systems, which maintain highly effective autonomous control against environmental influences. Therefore, different states such as bistability, oscillations and chaos can be defined and, hence, described better in chemical sy stems. Chemical systems may thus provide some insights into functional structures that also exist in more complex biological systems.

Chemical and Biological Processes in Fluid Flows

Author : Zolt n Neufeld
Publisher : Imperial College Press
Page : 305 pages
File Size : 52,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9781848161788

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Chemical and Biological Processes in Fluid Flows by Zolt n Neufeld Pdf

Many chemical and biological processes take place in fluid environments in constant motion OCo chemical reactions in the atmosphere, biological population dynamics in the ocean, chemical reactors, combustion, and microfluidic devices. Applications of concepts from the field of nonlinear dynamical systems have led to significant progress over the last decade in the theoretical understanding of complex phenomena observed in such systems. This book introduces the theoretical approaches for describing mixing and transport in fluid flows. It reviews the basic concepts of dynamical phenomena arising from the nonlinear interactions in chemical and biological systems. The coverage includes a comprehensive overview of recent results on the effect of mixing on spatial structure and the dynamics of chemically and biologically active components in fluid flows, in particular oceanic plankton dynamics. Sample Chapter(s). Chapter 1: Fluid Flows (248 KB). Contents: Fluid Flows; Mixing and Dispersion in Fluid Flows; Chemical and Ecological Models; Reaction-Diffusion Dynamics; Fast Binary Reactions and the Lamellar Approach; Decay-Type and Stable Reaction Dynamics in Flows; Mixing in Autocatalytic-Type Processes; Mixing in Oscillatory Media; Further Reading. Readership: Physicists, applied mathematicians, chemical engineers and marine ecologists.

Advances in Chemical Physics, Volume 100

Author : Ilya Prigogine,Stuart A. Rice
Publisher : John Wiley & Sons
Page : 707 pages
File Size : 45,9 Mb
Release : 2009-09-09
Category : Science
ISBN : 9780470142127

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Advances in Chemical Physics, Volume 100 by Ilya Prigogine,Stuart A. Rice Pdf

The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.