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Foundations of Synergetics II

Chaos and Noise

  • Book
  • © 1996

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Authors:
  1. Alexander S. Mikhailov

    1. Max-Planck-Gesellschaft, Fritz-Haber-Institut, Germany

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  2. Alexander Yu. Loskutov

    1. Department of Physics, Lomonosov Moscow State University, Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

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-X
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  2. Introduction

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 1-9

  3. Unpredictable Dynamics

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 10-31

  4. Strange Attractors

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 32-54

  5. Fractals

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 55-68

  6. Iterative Maps

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 69-82

  7. Routes to Temporal Chaos

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 83-98

  8. Spatiotemporal Chaos

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 99-143

  9. Random Processes

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 144-158

  10. Active Systems with Noise

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 159-183

  11. Birth-Death Systems

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 184-212

  12. Extinction and Complex Relaxation

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 213-229

  13. Nonequilibrium Phase Transitions

    • Alexander S. Mikhailov, Alexander Yu. Loskutov
    Pages 230-259

  14. Back Matter

    Pages 261-277
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Keywords

About this book

The second edition of this volume has been extensively revised. A different version of Chap. 7, reflecting recent significant progress in understanding of spatiotempo­ ral chaos, is now provided. Much new material has been included in the sections dealing with intermittency in birth-death models and noise-induced phase transi­ tions. A new section on control of chaotic behavior has been added to Chap. 6. The subtitle of the volume has been changed to better reflect its contents. We acknowledge stimulating discussions with H. Haken and E. Scholl and are grateful to our colleagues M. Bar, D. Battogtokh, M. Eiswirth, M. Hildebrand, K. Krischer, and V. Tereshko for their comments and assistance. We thank M. Lubke for her help in producing new figures for this volume. Berlin and Moscow A. s. Mikhailov April 1996 A. Yu. Loskutov Preface to the First Edition 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.

Authors and Affiliations

  • Max-Planck-Gesellschaft, Fritz-Haber-Institut, Germany

    Alexander S. Mikhailov

  • Department of Physics, Lomonosov Moscow State University, Moscow, Russia

    Alexander Yu. Loskutov

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