Chemical Oscillations, Waves, and Turbulence

Chemical Oscillations, Waves, and Turbulence

Author: Y. Kuramoto

Publisher: Springer Science & Business Media

ISBN: 9783642696893

Category: Science

Page: 158

View: 594

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 Oscillations, Waves, and Turbulence
Language: en
Pages: 158
Authors: Y. Kuramoto
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Chemical Chaos
Language: en
Pages: 454
Authors: Stephen K. Scott
Categories: Science
Type: BOOK - Published: 1993 - Publisher: Oxford University Press

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
Language: en
Pages: 641
Authors: Raymond Kapral, K. Showalter
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Pattern Formations and Oscillatory Phenomena
Language: en
Pages: 280
Authors: Shuichi Kinoshita
Categories: Science
Type: BOOK - Published: 2013-05-09 - Publisher: Newnes

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
Multidimensional Strange Attractors and Turbulence
Language: en
Pages: 88
Authors: I. S. Aranson, M. I. Rabinovich, V. S. Afraimovich
Categories: Mathematics
Type: BOOK - Published: 1989 - Publisher: CRC Press

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.