Self-Organization Autowaves and Structures Far from Equilibrium

Proceedings of an International Sympusium Pushchino, USSR, July 18–23, 1983

  • V. I. Krinsky
Conference proceedings

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

Table of contents

  1. Front Matter
    Pages I-XI
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. V. I. Krinsky
      Pages 9-19
  3. Self-Organization in Physical Systems: Autowaves and Structures Far from Equilibrium

    1. Front Matter
      Pages 21-21
    2. B. B. Kadomtsev
      Pages 29-32
    3. Ya. B. Zeldovich
      Pages 33-37
    4. F. V. Bunkin, N. A. Kirichenko, B. S. Luk’yanchuk
      Pages 49-54
    5. V. M. Eleonskii, N. E. Kulagin, L. M. Lerman, Ja. L. Umanskii
      Pages 55-58
    6. V. N. Buravtsev, A. S. Botin, B. A. Malomed
      Pages 59-63
    7. Yu. V. Gulyaev, Yu. A. Rzhanov, Yu. I. Balkarei, L. L. Golik, M. I. Elinson, V. E. Pakseev
      Pages 64-67
    8. R. Z. Sagdeev, S. S. Moiseev, A. V. Tur, G. A. Khomenko, V. V. Yanovsky
      Pages 74-76
    9. S. V. Antipov, M. V. Nezlin, V. K. Rodionov, E. N. Snezhkin, A. S. Trubnikov
      Pages 87-90
  4. Mathematical Backgrounds of Autowaves

    1. Front Matter
      Pages 91-91
    2. A. S. Mikhailov
      Pages 92-97
    3. I. M. Starobinets, V. G. Yakhno
      Pages 98-102
    4. A. V. Panfilov, A. N. Rudenko, A. M. Pertsov
      Pages 103-105
    5. L. A. Beljakov, L. P. Šil’nikov
      Pages 106-110
    6. O. A. Mornev
      Pages 111-118
    7. A. V. Gaponov-Grekhov, M. I. Rabinovich, I. M. Starobinets
      Pages 130-138
  5. Autowaves and Auto-Oscillations in Chemical Active Media

  6. Autowaves in Biological Systems

    1. Front Matter
      Pages 179-179
    2. A. M. Pertsov, A. K. Grenadier
      Pages 184-190
    3. F. J. L. van Capelle, M. J. Janse
      Pages 191-194
    4. A. B. Medvinsky, A. V. Panfilov, A. M. Pertsov
      Pages 195-199
    5. Yu. M. Svirezhev, V. N. Razzhevaikin
      Pages 200-203
    6. L. V. Belousov
      Pages 204-208
    7. G. R. Ivanitsky, A. S. Kunisky, M. A. Tzyganov
      Pages 214-217
    8. S. I. Beilina, N. B. Matveeva, A. V. Priezzhev, Yu. M. Romanenko, A. P. Sukhorukov, V. A. Teplov
      Pages 218-221
  7. Evolution and Self-Organization

    1. Front Matter
      Pages 223-223
    2. L. L. Morozov, V. I. Goldanskii
      Pages 224-232
    3. Werner Ebeling, Rainer Feistel
      Pages 233-239

About these proceedings


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.


Selbstorganisierendes System /Bericht Synergetik /Bericht Systems biology translation

Editors and affiliations

  • V. I. Krinsky
    • 1
  1. 1.Institute of Biological PhysicsUSSR Academy of SciencesPushchinoUSSR

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1984
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-70212-9
  • Online ISBN 978-3-642-70210-5
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site