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  • Textbook
  • © 1991

Foundations of Synergetics II

Complex Patterns

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-VIII
  2. Introduction

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 1-8
  3. Unpredictable Dynamics

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 9-28
  4. Strange Attractors

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 29-49
  5. Fractals

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 50-59
  6. Discrete Maps

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 60-72
  7. Routes to Temporal Chaos

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 73-84
  8. Spatio-Temporal Chaos

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 85-105
  9. Random Processes

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 106-119
  10. Active Systems with Noise

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 120-137
  11. Population Explosions

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 138-152
  12. Extinction and Long-Time Relaxation

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 153-169
  13. Catastrophes

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 170-195
  14. Back Matter

    Pages 197-210

About this book

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.

Authors and Affiliations

  • Department of Physics, Moscow State University, Moscow, USSR

    Alexander S. Mikhailov, Alexander Yu. Loskutov

  • Institut für Theoretische Physik und Synergetik, Universität Stuttgart, Stuttgart 80, Fed. Rep. of Germany

    Alexander S. Mikhailov

Bibliographic Information

Buy it now

Buying options

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