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Foundations of Synergetics II

Complex Patterns

  • Alexander S. Mikhailov
  • Alexander Yu. Loskutov

Part of the Springer Series in Synergetics book series (SSSYN, volume 52)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 1-8
  3. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 9-28
  4. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 29-49
  5. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 50-59
  6. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 60-72
  7. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 73-84
  8. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 85-105
  9. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 106-119
  10. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 120-137
  11. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 138-152
  12. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 153-169
  13. Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 170-195
  14. Back Matter
    Pages 197-210

About this book

Introduction

This textbook is based on a lecture course in synergetics given at the University of Moscow. In this second of two volumes, we discuss the emergence and properties of complex chaotic patterns in distributed active systems. Such patterns can be produced autonomously by a system, or can result from selective amplification of fluctuations caused by external weak noise. Although the material in this book is often described by refined mathematical theories, we have tried to avoid a formal mathematical style. Instead of rigorous proofs, the reader will usually be offered only "demonstrations" (the term used by Prof. V. I. Arnold) to encourage intuitive understanding of a problem and to explain why a particular statement seems plausible. We also refrained from detailing concrete applications in physics or in other scientific fields, so that the book can be used by students of different disciplines. While preparing the lecture course and producing this book, we had intensive discussions with and asked the advice of Prof. V. I. Arnold, Prof. S. Grossmann, Prof. H. Haken, Prof. Yu. L. Klimontovich, Prof. R. L. Stratonovich and Prof. Ya.

Keywords

Reaction-Diffusion Systems Reaction-Diiffusion Systems Synergetik Turbulence Verteilte Verarbeitung chaos noise pattern random processes

Authors and affiliations

  • Alexander S. Mikhailov
    • 1
    • 2
  • Alexander Yu. Loskutov
    • 1
  1. 1.Department of PhysicsMoscow State UniversityMoscowUSSR
  2. 2.Institut für Theoretische Physik und SynergetikUniversität StuttgartStuttgart 80Fed. Rep. of Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-97294-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-97296-6
  • Online ISBN 978-3-642-97294-2
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site
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