Foundations of Synergetics: v. 2 (Springer Series in Synergetics) - Hardcover

Mikhailov, Alexander S.; Mikhailov, A.S.

Hardcover

ISBN 10: 3540610669 ISBN 13: 9783540610663

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996

Synopsis

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.

About this title

From the Back Cover

This book is the second of two volumes that together give a comprehensive introduction to the theory of cooperative behavior in active systems. This volume is devoted to the properties of the complex chaotic patterns that can arise in distributed active systems. The reader will encounter strange attractors, fractals, discrete maps, spatio-temporal chaos etc., and will learn how these phenomena relate to the emergence of complex and chaotic patterns. Examples treated in detail include population explosion and extinction in fluctuating distributed media, and fluctuation effects in binary annihilation.
This second edition has been revised and enlarged, in particular with respect to turbulence in distributed active systems, and a new section on control of chaotic behavior has been added. Much new material has been included in chapters where noise-induced pattern formation is considered.

Synopsis

This text is the second of two volumes that together give an introduction to the theory of co-operative behaviour in active systems. This volume is devoted to the properties of the complex chaotic patterns that can arise in distributed active systems. It deals with strange attractors, fractals, discrete maps, spatio-temporal chaos, and so on, and teaches how these phenomena relate to the emergence of complex and chaotic patterns. For this edition, the chapter on turbulence in distributed active systems has been rewritten and on one control of chaotic behaviour has been added.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1996
• Language: English
• ISBN 10: 3540610669
• ISBN 13: 9783540610663
• Binding: Hardcover
• Edition number: 2
• Number of pages: 288