Overview
- Editors:
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V. I. Krinsky
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Institute of Biological Physics, USSR Academy of Sciences, Pushchino, USSR
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Table of contents (45 papers)
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Mathematical Backgrounds of Autowaves
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- I. M. Starobinets, V. G. Yakhno
Pages 98-102
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- A. V. Panfilov, A. N. Rudenko, A. M. Pertsov
Pages 103-105
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- L. A. Beljakov, L. P. Å ilānikov
Pages 106-110
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- A. V. Gaponov-Grekhov, M. I. Rabinovich, I. M. Starobinets
Pages 130-138
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Autowaves and Auto-Oscillations in Chemical Active Media
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Front Matter
Pages 139-139
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- A. M. Zhabotinsky, A. B. Rovinsky
Pages 140-146
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- K. I. Agladze, V. I. Krinsky
Pages 147-149
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- E. KÅrƶs, M. Varga, T. PaulĆ³
Pages 150-153
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- M. Marek, H. Å evÄĆkovĆ”
Pages 161-163
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- L. U. Artyukh, P. G. Itskova, A. T. Lukāyanov
Pages 174-177
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Autowaves in Biological Systems
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Front Matter
Pages 179-179
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- J. BureÅ”, V. I. Koroleva, N. A. Gorelova
Pages 180-183
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- A. M. Pertsov, A. K. Grenadier
Pages 184-190
About this book
According to its definition, Synergetics is concerned with systems that produce macroscopic spatial, temporal, or functional structures. Autowaves areĀ·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" (= selfĀ oscillator) which in its proper translation means "self-sustained oscillator". These are oscillators, e. g. , clocks, whose internal energy dissipation is compensaĀ ted by a (more or less) continuous power input. Simi larly, the term "autowaves" deĀ notes propagation effects - including waves - in active media, which provide spaĀ 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, chemĀ 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 experĀ imental and theoretical findings which are presented in a way which elucidates the common principles underlying this kind of propagation effects. Professor V.
Editors and Affiliations
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Institute of Biological Physics, USSR Academy of Sciences, Pushchino, USSR
V. I. Krinsky