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 #  AuthorTitleAccn#YearItem Type Claims
1 Mikhailov, Alexander S From Cells to Societies I11366 2002 eBook  
2 Mikhailov, Alexander S Foundations of Synergetics I I03596 1990 eBook  
3 Mikhailov, Alexander S Foundations of Synergetics II I02745 1991 eBook  
4 Mikhailov, Alexander S Foundations of Synergetics I I01353 1990 eBook  
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1.    
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TitleFrom Cells to Societies : Models of Complex Coherent Action
Author(s)Mikhailov, Alexander S;Calenbuhr, Vera
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2002.
DescriptionX, 302 p : online resource
Abstract NoteThis book shows how, by rather simple models, we can gain remarkable insights into the behavior of complex systems. It is devoted to the discussion of functional self-organization in large populations of interacting active elements. The possible forms of self-organization in such systems range from coherent collective motions in the physical coordinate space to the mutual synchronization of internal dynamics, the development of coherently operating groups, the rise of hierarchical structures, and the emergence of dynamical networks. Such processes play an important role in biological and social phenomena. The authors have chosen a series of models from physics, biochemistry, biology, sociology and economics, and will systematically discuss their general properties. The book addresses researchers and graduate students in a variety of disciplines, such as physics, chemistry, biology and the social sciences
ISBN,Price9783662050620
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. COMPLEX SYSTEMS 4. COMPUTERS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. SOCIAL SCIENCES 10. Social Sciences, general 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems 13. Theory of Computation
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2.     
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TitleFoundations of Synergetics I : Distributed Active Systems
Author(s)Mikhailov, Alexander S
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionX, 187 p. 19 illus : online resource
Abstract NoteThis 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
ISBN,Price9783642972690
Keyword(s)1. BOTANY 2. EBOOK 3. EBOOK - SPRINGER 4. ECONOMIC THEORY 5. Economic Theory/Quantitative Economics/Mathematical Methods 6. MATHEMATICAL PHYSICS 7. MICROPROCESSORS 8. PATTERN RECOGNITION 9. PLANT SCIENCE 10. Plant Sciences 11. Processor Architectures 12. Theoretical, Mathematical and Computational Physics 13. ZOOLOGY
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TitleFoundations of Synergetics II : Complex Patterns
Author(s)Mikhailov, Alexander S;Loskutov, Alexander Yu
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionVIII, 210 p : online resource
Abstract NoteThis 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
ISBN,Price9783642972942
Keyword(s)1. BIOMATHEMATICS 2. BOTANY 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical and Computational Biology 6. MATHEMATICAL PHYSICS 7. MICROPROCESSORS 8. PATTERN RECOGNITION 9. PLANT SCIENCE 10. Plant Sciences 11. Processor Architectures 12. Statistics for Life Sciences, Medicine, Health Sciences 13. Statistics?? 14. Theoretical, Mathematical and Computational Physics
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4.    
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TitleFoundations of Synergetics I : Distributed Active Systems
Author(s)Mikhailov, Alexander S
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionXII, 213 p. 12 illus : online resource
Abstract NoteThis 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
ISBN,Price9783642785566
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. ECOLOGY 4. Ecology?? 5. ECONOMIC THEORY 6. Economic Theory/Quantitative Economics/Mathematical Methods 7. GEOLOGY 8. MATHEMATICAL PHYSICS 9. MICROPROCESSORS 10. PATTERN RECOGNITION 11. Processor Architectures 12. Theoretical, Mathematical and Computational Physics
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I01353     On Shelf    

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