Foundations Of Synergetics Distributed Active Systems
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Foundations Of Synergetics I
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Author : Alexander S. Mikhailov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Synergetics I written by Alexander S. Mikhailov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Foundations Of Synergetics
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Author : Alexander S. Mikhailov
language : en
Publisher:
Release Date : 1990
Foundations Of Synergetics written by Alexander S. Mikhailov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Chaotic behavior in systems categories.
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.
Foundations Of Synergetics Distributed Active Systems
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Author : Alexander S. Mikhailov
language : en
Publisher:
Release Date : 1990
Foundations Of Synergetics Distributed Active Systems written by Alexander S. Mikhailov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Chaotic behavior in systems categories.
Foundations Of Synergetics Ii
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Author : Alexander S. Mikhailov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Synergetics Ii written by Alexander S. Mikhailov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Synergetics
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Author : Hermann Haken
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-12
Synergetics written by Hermann Haken and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-12 with Language Arts & Disciplines categories.
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.
From Cells To Societies
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Author : Alexander S. Mikhailov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
From Cells To Societies written by Alexander S. Mikhailov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
This book, written by two well-known scientists, represents an excellent ad dition to the Springer Series in Synergetics in several ways. It shows how by rather simple models we can gain remarkable insights into the behavior of complex systems. At the same time it demonstrates the progress made in this interdisciplinary field. While in the early days of Synergetics, the self organized coherent action of atoms in the laser - a physical device - was in the foreground of interest (cf. my book Synergetics: An Introduction (Springer, Berlin, Heidelberg, New York 1977)), the coherent action of nerve cells got into the focus of research, as is witnessed by the book by P. Tass in this series (P. Tass, Phase Resetting in Medicine and Biology (Springer, Berlin, Heidel berg, New York 1999)). In these books the elements were disturbed by noise. Now, in the present book by Mikhailov and Calenbuhr, the self-organized coherent action of otherwise chaotic elements is studied and important as well as surprising results by Kaneko, Mikhailov and others are presented. Let me mention just another highly interesting problem treated in this book: the coherent interaction of tens of thousands of reactions going on in biological cells. But other phenomena, such as the formation of swarms of fish or the collective behavior of ants, are also modelled. These are just a few examples of the many fascinating subjects dealt with in this book that relate to many disciplines under unifying aspects.
Nonlinear Klein Gordon And Schrodinger Systems Theory And Applications
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Author : Luis Vazquez
language : en
Publisher: World Scientific
Release Date : 1996-06-20
Nonlinear Klein Gordon And Schrodinger Systems Theory And Applications written by Luis Vazquez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-20 with categories.
This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.
Synchronization And Waves In Active Media
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Author : Jan Frederik Totz
language : en
Publisher: Springer
Release Date : 2019-01-18
Synchronization And Waves In Active Media written by Jan Frederik Totz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-18 with Science categories.
The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.
Dynamics Of Self Organized And Self Assembled Structures
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Author : Rashmi C. Desai
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-26
Dynamics Of Self Organized And Self Assembled Structures written by Rashmi C. Desai and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-26 with Mathematics categories.
Describes pattern formation processes and how they can be modeled for graduate-level courses.
Systemics Of Emergence
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Author : Gianfranco Minati
language : en
Publisher: Springer Science & Business Media
Release Date : 2006
Systemics Of Emergence written by Gianfranco Minati and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Business & Economics categories.
Within the General Systems Theory (GST) approach, it is possible to focus on "emergent" systemic properties (typically occurring in open, adaptive, anticipatory and chaotic systems), by stressing their specificity and their lack of reducibility into further components. In other words, emergence underlies the processes allowing the establishing of systemic properties. Research on emergence deals with experimental detection, modeling and simulation of processes giving rise to the occurrence of macroscopic (often complex and unexpected) behaviors in complex systems consisting of a large number of components. Actually such a theoretical and experimental effort relies on analytical methods, such as the ones used in modern theories of self-organization, collective-behaviors, phase transitions and artificial life. In sum, the research on emergence analyzes the engine of GST, while GST itself focuses on the general outcomes of this research, thus conceptually inducing an inter- and trans-disciplinary context. SYSTEMICS OF EMERGENCE: Research and Development is a volume devoted to exploring the core theoretical and disciplinary research problems of emergence processes from which systems are established. It focuses on emergence as the key point of any systemic process. This topic is dealt with within different disciplinary approaches, indicated by the organization in sections: 1) Applications; 2) Biology and human care; 3) Cognitive Science; 4) Emergence; 5) General Systems; 6) Learning; 7) Management; 8) Social Systems; 9) Systemic Approach and Information Science; 10) Theoretical issues in Systemics. The Editors and contributing authors have produced this volume to help, encourage and widen the work in this area of General Systems Research.