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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.
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."
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