Overview

According to its definition, Synergetics is concerned with systems that produce macroscopic spatial, temporal, or functional structures. Autowaves are·a specific, yet very important, case of spatio-temporal structures. The term ""autowave"" was coined in the Soviet Union in analogy to the term ""auto-oscillator"". This is - perhaps too literal - translation of the Russian word ""avto-ostsillyatory"" (= self­ oscillator) which in its proper translation means ""self-sustained oscillator"". These are oscillators, e. g. , clocks, whose internal energy dissipation is compensa­ ted by a (more or less) continuous power input. Simi larly, the term ""autowaves"" de­ notes propagation effects - including waves - in active media, which provide spa­ tially distributed energy sources and thus may compensate dissipation. An example which is now famous is represented by spiral or concentric waves in a chemically active medium, undergoing the Belousov-Zhabotinsky reaction. This book provides the reader with numerous further examples from physics, chem­ istry, and biology - e. g. , autowaves of the heart. While the Belousov-Zhabotinsky reaction is now widely known, a number of very important results obtained in the Soviet Union are perhaps less well known. I am particularly glad that this book may help to make readers outside the Soviet Union acquainted with these important exper­ imental and theoretical findings which are presented in a way which elucidates the common principles underlying this kind of propagation effects. Professor V.

Full Product Details

Author:   V.I. Krinsky
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1984
Volume:   28
Dimensions:   Width: 17.00cm , Height: 1.50cm , Length: 24.40cm
Weight:   0.495kg
ISBN:  

9783642702129

ISBN 10:   3642702120
Pages:   266
Publication Date:   13 December 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

I Introduction.- Synergetics - Some Basic Concepts and Recent Results.- Autowaves: Results, Problems, Outlooks.- II Self-Organization in Physical Systems: Autowaves and Structures Far from Equilibrium.- The Microscopic Theory of Irreversible Processes.- Coherent Structures in Plasmas..- Structures in the Universe..- Interfacial Instability in Fluid Layers Under Thermal Constraints.- Laser-Induced Autowave Processes.- Completely Integrable Models in the Domain Walls and Interphases Theories.- The Autowave Phenomena on the Surface of Crystallizing Solution.- Autowave Processes in Semiconductors with the Temperature-Electric Instability.- Thermal Wave Propagation in a Superconducting System as an Autowave Process.- Theory of Development of Large-Scale Structures in Hydrodynamical Turbulence.- The Role of Fluctuations for Self-Organization in Physical Systems (an Exemplary Case of Transition from a Laminar to Turbulent Flow).- Stochastization of Nonstationary Structures in a Distributed Oscillator with Delay..- Experimental Study of Rossby Solitons and Dissipative Structures in Geostrophical Streams..- III Mathematical Backgrounds of Autowaves.- A Theory of Spiral Waves in Active Media.- One-Dimensional Autowaves, Methods of Qualitative Description.- Twisted Scroll Waves in Three-Dimensional Active Media.- On the Complex Stationary Nearly Solitary Waves.- Elements of the “Optics” of Autowaves.- Numerical Simulation and Nonlinear Processes in Dissipative Media.- The Onset and the Development of Chaotic Structures in Dissipative Media.- IV Autowaves and Auto-Oscillations in Chemically Active Media.- Mathematical Models of Chemically Active Media.- On the Mechanism of Target Pattern Formation in the Distributed Belousov-Zhabotinsky System..- Iodide-Induced Oscillation inUncatalyzed Bromate Oscillators.- Topological Similarities in Dissipative Structures of Marangoni-Instabi1ity and Belousov-Zhabotinsky-Reaction..- A Generalized Mechanism for Bromate-Driven Oscillators.- Electrical Field Effects on Propagating Pulse and Front Waves.- Self-Organization Phenomena and Autowave Processes in Heterogeneous Chemical and Physical Systems..- Threshold Effects and Autowave Processes in Low-Temperature Solid-State Chemical Reactions..- Spatial Structures and Pattern Selection in Chemical Systems.- Simulation of Self-Organized States in Combustion Processes.- V Autowaves in Biological Systems.- Leão’s Spreading Depression, an Example of Diffusion-Mediated Propagation of Excitation in the Central Nervous System..- The Autowave Nature of Cardiac Arrhythmias.- Cardiac Arrhythmias During Acute Myocardial Ischemia.- Properties of Rotating Waves in Three Dimensions. Scroll Rings in Myocard.- Waves and Structures in Space: Ecology and Epidemiology.- Synergetics and Biological Morphogenesis.- Collective Phenomena in the Multicellular Development of Dictyostelium Discoideur..- Study of “Target Patterns” in a Phage-Bacterium System.- Plasmodium of the Myxomycete Physarum Polycephalum as an Autowave Self-Organizing System..- VI Evolution and Self-Organization.- Violation of Symmetry and Self-Organization in Prebiological Evolution.- Physical Models of Evolution Processes.- Experimental and Theoretical Studies of the Regulatory Hierarchy in Glycolysis.- Evolution and Value of Information.- Index of Contributors.

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