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Foundations Of Synergetics I
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Author :Alexander S. Mikhailov Publisher :Springer Science & Business Media ISBN 13 :3642785565 Total Pages :198 pages Book Rating :4.6/5 (427 download)
Book Synopsis Foundations of Synergetics I by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics I written by Alexander S. Mikhailov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the mathematical theory of cooperative behavior in active systems of various origins, both natural and artificial. It is based on a lecture course in synergetics which I held for almost ten years at the University of Moscow. The first volume deals mainly with the problems of pattern fonnation and the properties of self-organized regular patterns in distributed active systems. It also contains a discussion of distributed analog information processing which is based on the cooperative dynamics of active systems. The second volume is devoted to the stochastic aspects of self-organization and the properties of self-established chaos. I have tried to avoid delving into particular applications. The primary intention is to present general mathematical models that describe the principal kinds of coopera tive behavior in distributed active systems. Simple examples, ranging from chemical physics to economics, serve only as illustrations of the typical context in which a particular model can apply. The manner of exposition is more in the tradition of theoretical physics than of in mathematics: Elaborate fonnal proofs and rigorous estimates are often replaced the text by arguments based on an intuitive understanding of the relevant models. Because of the interdisciplinary nature of this book, its readers might well come from very diverse fields of endeavor. It was therefore desirable to minimize the re quired preliminary knowledge. Generally, a standard university course in differential calculus and linear algebra is sufficient.
Book Synopsis Foundations of Synergetics I by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics I written by Alexander S. Mikhailov and published by . This book was released on 1990 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics I by : Alexander Mikhailov
Download or read book Foundations of Synergetics I written by Alexander Mikhailov and published by Springer. This book was released on 2012-05-17 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the mathematical theory of cooperative behavior in active systems of various origins, both natural and artificial. It is based on a lecture course in synergetics which I held for almost ten years at the University of Moscow. The first volume deals mainly with the problems of pattern formation and the properties of self-organized regular patterns in distributed active systems. It also contains a discussion of distributed analog information processing which is based on the cooperative dynamics of active systems. The second volume is devoted to the stochastic aspects of self-organization and the properties of self-established chaos. I have tried to avoid delving into particular applications. The primary intention is to present general mathematical models that describe the principal kinds of coopera tive behavior in distributed active systems. Simple examples, ranging from chemical physics to economics, serve only as illustrations of the typical context in which a particular model can apply. The manner of exposition is more in the tradition of theoretical physics than of mathematics: Elaborate formal proofs and rigorous estimates are often replaced in the text by arguments based on an intuitive understanding of the relevant models. Because of the interdisciplinary nature of this book, its readers might well come from very diverse fields of endeavor. It was therefore desirable to minimize the re quired preliminary knowledge. Generally, a standard university course in differential calculus and linear algebra is sufficient.
Book Synopsis Foundations of Synergetics by : Aleksander S. Mikhailov
Download or read book Foundations of Synergetics written by Aleksander S. Mikhailov and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics by : Aleksandr S. Michajlov
Download or read book Foundations of Synergetics written by Aleksandr S. Michajlov and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Alexander S. Mikhailov Publisher :Springer Science & Business Media ISBN 13 :364280196X Total Pages :284 pages Book Rating :4.6/5 (428 download)
Book Synopsis Foundations of Synergetics II by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics II written by Alexander S. Mikhailov and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Synergetics by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics written by Alexander S. Mikhailov and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Alexander S. Mikhailov Publisher :Springer Science & Business Media ISBN 13 :3642972942 Total Pages :217 pages Book Rating :4.6/5 (429 download)
Book Synopsis Foundations of Synergetics II by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics II written by Alexander S. Mikhailov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of Synergetics II by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics II written by Alexander S. Mikhailov and published by . This book was released on 1991 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Synergetics II written by and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics: Complex pattern by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics: Complex pattern written by Alexander S. Mikhailov and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics written by Alexander S. Mikhailov and published by . This book was released on 1991 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics: Complex patterns by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics: Complex patterns written by Alexander S. Mikhailov and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics II by : Alexander S. Mikhailov
Download or read book Foundations of Synergetics II written by Alexander S. Mikhailov and published by Springer Verlag. This book was released on 1991 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of two volumes that comprise a textbook based on a lecture course in synergetics at the U. of Moscow. Discusses the emergence and properties of complex chaotic patterns in distributed active systems. Avoids a formal mathematical style and details of applications in any particular field, in order to be useful to students in different disciplines. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Foundations of Synergetics by : A. S. Michajlov
Download or read book Foundations of Synergetics written by A. S. Michajlov and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Synergetics II by : Alexander Mikhailov
Download or read book Foundations of Synergetics II written by Alexander Mikhailov and published by Springer. This book was released on 2011-12-23 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Synergetics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2004-01-12 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an often-requested reprint of two classic texts by H. Haken: "Synergetics. An Introduction" and "Advanced Synergetics". Synergetics, an interdisciplinary research program initiated by H. Haken in 1969, deals with the systematic and methodological approach to the rapidly growing field of complexity. Going well beyond qualitative analogies between complex systems in fields as diverse as physics, chemistry, biology, sociology and economics, Synergetics uses tools from theoretical physics and mathematics to construct an unifying framework within which quantitative descriptions of complex, self-organizing systems can be made. This may well explain the timelessness of H. Haken's original texts on this topic, which are now recognized as landmarks in the field of complex systems. They provide both the beginning graduate student and the seasoned researcher with solid knowledge of the basic concepts and mathematical tools. Moreover, they admirably convey the spirit of the pioneering work by the founder of Synergetics through the essential applications contained herein that have lost nothing of their paradigmatic character since they were conceived.
