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Book cover
  • Conference proceedings
  • © 1984

Self-Organization

Autowaves and Structures Far from Equilibrium

Editors:

  1. V. I. Krinsky

    1. Institute of Biological Physics, USSR Academy of Sciences, Pushchino, USSR

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 28)

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Table of contents (45 papers)

  1. Mathematical Backgrounds of Autowaves

    1. One-Dimensional Autowaves, Methods of Qualitative Description

      • I. M. Starobinets, V. G. Yakhno
      Pages 98-102

    2. Twisted Scroll Waves in Three-Dimensional Active Media

      • A. V. Panfilov, A. N. Rudenko, A. M. Pertsov
      Pages 103-105

    3. On the Complex Stationary Nearly Solitary Waves

      • L. A. Beljakov, L. P. Šil’nikov
      Pages 106-110

    4. Elements of the “Optics” of Autowaves

      • O. A. Mornev
      Pages 111-118

    6. The Onset and the Development of Chaotic Structures in Dissipative Media

      • A. V. Gaponov-Grekhov, M. I. Rabinovich, I. M. Starobinets
      Pages 130-138

  2. Autowaves and Auto-Oscillations in Chemical Active Media

    1. Front Matter

      Pages 139-139
      PDF

    2. Mathematical Models of Chemical Active Media

      • A. M. Zhabotinsky, A. B. Rovinsky
      Pages 140-146

    4. Iodide-Induced Oscillation in Uncatalyzed Bromate Oscillators

      • E. Kőrös, M. Varga, T. Pauló
      Pages 150-153

    7. Electrical Field Effects on Propagating Pulse and Front Waves

      • M. Marek, H. Ševčíková
      Pages 161-163

    11. Simulation of Self-Organized States in Combustion Processes

      • L. U. Artyukh, P. G. Itskova, A. T. Luk’yanov
      Pages 174-177

  3. Autowaves in Biological Systems

    1. Front Matter

      Pages 179-179
      PDF

    3. The Autowave Nature of Cardiac Arrhythmias

      • A. M. Pertsov, A. K. Grenadier
      Pages 184-190
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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 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.
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Keywords

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Editors and Affiliations

  • Institute of Biological Physics, USSR Academy of Sciences, Pushchino, USSR

    V. I. Krinsky

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Bibliographic Information

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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