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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Self-Organization in Physical Systems: Autowaves and Structures Far from Equilibrium
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- F. V. Bunkin, N. A. Kirichenko, B. S. Lukāyanchuk
Pages 49-54
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- V. M. Eleonskii, N. E. Kulagin, L. M. Lerman, Ja. L. Umanskii
Pages 55-58
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- V. N. Buravtsev, A. S. Botin, B. A. Malomed
Pages 59-63
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- Yu. V. Gulyaev, Yu. A. Rzhanov, Yu. I. Balkarei, L. L. Golik, M. I. Elinson, V. E. Pakseev
Pages 64-67
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- R. Z. Sagdeev, S. S. Moiseev, A. V. Tur, G. A. Khomenko, V. V. Yanovsky
Pages 74-76
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- V. A. Kats, D. I. Trubetskov
Pages 81-86
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- S. V. Antipov, M. V. Nezlin, V. K. Rodionov, E. N. Snezhkin, A. S. Trubnikov
Pages 87-90
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Mathematical Backgrounds of Autowaves
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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