Theory of Nonlinear Lattices (Volume 20 of Springer Series in Solid-State Sciences).

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ISBN 13 :
Total Pages : pages
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Book Synopsis Theory of Nonlinear Lattices (Volume 20 of Springer Series in Solid-State Sciences). by : M. Toda

Download or read book Theory of Nonlinear Lattices (Volume 20 of Springer Series in Solid-State Sciences). written by M. Toda and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Nonlinear Lattices

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Publisher : Springer Science & Business Media
ISBN 13 : 3642832199
Total Pages : 233 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Theory of Nonlinear Lattices by : Morikazu Toda

Download or read book Theory of Nonlinear Lattices written by Morikazu Toda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.

Theory of Nonlinear Lattices

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Publisher : Springer
ISBN 13 : 9783642965852
Total Pages : 0 pages
Book Rating : 4.9/5 (658 download)

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Book Synopsis Theory of Nonlinear Lattices by : Morikazu Toda

Download or read book Theory of Nonlinear Lattices written by Morikazu Toda and published by Springer. This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with waves in lattices composed of particles interacting by nonlinear forces. Since motion in a lattice with exponential interac tion between nearest neighbors can be analyzed rigorously, it is treated as the central subject to be discussed. From the idea that the fundamentals of the mathematical methods for nonlinear lattices would be elucidated by rigorous results, I was led in 1966 to the lattice with exponential interaction, which has since proved to be a subject of intensive investigation by many researchers. Therefore I have tried to describe the development of the study of this lattice. The presentation is intended to be coherent and self-contained. Chapter 1 starts with a rather historical exposition, and deals with the motion in the lattices and in continuous systems in general. Funda mental concepts necessary for later chapters, including the partic1elike behavior of stable pulses (solitons), the most characteristic entities of the nonlinear waves, are introduced. The dual transformation, which exchanges the roles of particles and interaction, is described for devel opment in the next chapter.

Advanced Synergetics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642455530
Total Pages : 371 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Advanced Synergetics by : Hermann Haken

Download or read book Advanced Synergetics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on the interdisciplinary field of synergetics will be of interest to students and scientists in physics, chemistry, mathematics, biology, electrical, civil and mechanical engineering, and other fields. It continues the outline of basic con cepts and methods presented in my book Synergetics. An Introduction, which has by now appeared in English, Russian, J apanese, Chinese, and German. I have written the present book in such a way that most of it can be read in dependently of my previous book, though occasionally some knowledge of that book might be useful. But why do these books address such a wide audience? Why are instabilities such a common feature, and what do devices and self-organizing systems have in common? Self-organizing systems acquire their structures or functions without specific interference from outside. The differentiation of cells in biology, and the process of evolution are both examples of self-organization. Devices such as the electronic oscillators used in radio transmitters, on the other hand, are man made. But we often forget that in many cases devices function by means of pro cesses which are also based on self-organization. In an electronic oscillator the motion of electrons becomes coherent without any coherent driving force from the outside; the device is constructed in such a way as to permit specific collective motions of the electrons. Quite evidently the dividing line between self-organiz ing systems and man-made devices is not at all rigid.

Chaos and Statistical Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642695590
Total Pages : 281 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Chaos and Statistical Methods by : Y. Kuramoto

Download or read book Chaos and Statistical Methods written by Y. Kuramoto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 6th Kyoto Summer Institute devoted to "Chaos and Statistical Mechanics" was held from September 12 to 15, 1983, at the Research Institute forMathematical Sciences, Kyoto University, and at Hotel Kuniso. The meeting was aimed at clari fying various aspects of chaotic systems appearing in different scientific disci pl ines, critically examining related mathematical methods developed so far, thus preparing for possible breakthroughs, among others, for the opening of a new period of statistical mechanics of deterministic systems. The number of partici pants was 135,of which 24 were from abroad. We believe that the well-prepared lecture of each speaker and lively discussions among many participants from various research fields led the meeting to a successful conclusion. The 6th KSI was organized by the Research Institute for Fundamental Physics. A number of young chaos researchers in Japan also participated actively in the organization. We were also in close contact with the organizer of the IUTAM Sym posium on "Turbulence and Chaotic Phenomena in Fluids" (Kyoto Kaikan Conference Hall, Kyoto, September 5-10 1983). This volume contains most of the lectures presented at the 6th KSI. We are very grateful to all the authors for their efforts in preparing such excellent manuscripts. The 6th KSI was supported by the Ministry of Education, Science and Culture and the Yamada Science Foundation. The organizing committee acknowledges gratefully their generous financial support. Finally, than'ks are due to Dr. M. Toya and Miss T. Sumide for their invaluable assistance.

Elastic Media with Microstructure II

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Publisher : Springer Science & Business Media
ISBN 13 : 3642819605
Total Pages : 279 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Elastic Media with Microstructure II by : I. A. Kunin

Download or read book Elastic Media with Microstructure II written by I. A. Kunin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystals and polycrystals, composites and polymers, grids and multibar systems can be considered as examples of media with microstructure. A characteristic feature of all such models is the existence of scale parameters which are con nected with microgeometry or long-range interacting forces. As a result the cor responding theory must essentially be a nonlocal one. This treatment provides a systematic investigation of the effects of micro structure, inner degrees of freedom and non locality in elastic media. The prop agation of linear and nonlinear waves in dispersive media, static, deterministic and stochastic problems, and the theory of local defects and dislocations are considered in detail. Especial attention is paid to approximate models and lim iting transitions to classical elasticity. The book forms the second part of a revised and updated edition of the author's monograph published under the same title in Russian in 1975. The first part (Vol. 26 of Springer Series in Solid-State Sciences) presents a self contained theory of one-dimensional models. The theory of three-dimensional models is considered in this volume. I would like to thank E. Kroner and A. Seeger for supporting the idea of an English edition of my original Russian book. I am also grateful to E. Borie, H. Lotsch and H. Zorski who read the manuscript and offered many sugges tions. Houston, Texas Isaak A. Kunin January, 1983 Contents 1. Introduction ...

Chaos and Order in Nature

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Publisher : Springer Science & Business Media
ISBN 13 : 3642683045
Total Pages : 280 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Chaos and Order in Nature by : Hermann Haken

Download or read book Chaos and Order in Nature written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the invited papers of an international symposium on synergetics; which was held at Schlol3 Elmau, Bavaria, FRG, April 27 to May 1, 1981. At our previous meetings on synergetics the self-organized formation of structures in quite different disciplines stood in the foreground of our interest. More recently it has turned out that phenomena characterized by the word "chaos" appear in various disciplines, and again far-reaching analogies in the behavior of quite different systems become visible. Therefore this meeting was devoted not only to problems connected with the occurrence of ordered structures but also to most recent results obtained in the study of chaotic motion. In the strict mathematical sense we are dealing here with deterministic chaos, i. e. , irregular motion described by deter ministic equations. While in this relatively young fieJd of research computer ex periments and computer simulations predominated in the past, there now seems to be a change of trend, namely to study certain regular features of chaos by analytical metbods. I think considerable progress has been achieved in this respect quite recently. This theoretical work is paralleled by a number of very beautiful experi ments in different fields, e. g. , fluid dynamics, solid-state physics, and chemistry. For the first time at this kind of meeting we have included plasma physics, which presents a number of most fascinating problems with respect to instabilities, formation of structures, and related phenomena.

Elastic Media with Microstructure I

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Publisher : Springer Science & Business Media
ISBN 13 : 3642817483
Total Pages : 301 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Elastic Media with Microstructure I by : I. A. Kunin

Download or read book Elastic Media with Microstructure I written by I. A. Kunin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystals and polycrystals,composites and polymers, grids and multibar systems can be considered as examples of media with microstructure. A characteristic feature of all such models is the existence of scale parameters which are connected with micro geometry or long-range interacting forces. As a result the corresponding theory must essentially be a nonlocal one. The book is devoted to a systematic investigation of effects of microstructure, inner degrees of freedom and nonlocality in elastic media. The propagation of linear and nonlinear waves in dispersive media, static problems, and the theory of defects are considered in detail. Much attention is paid to approximate models and limiting tran sitions to classical elasticity. The book can be considered as a revised and updated edition of the author's book under the same title published in Russian in 1975. The frrst volume presents a self-con tained theory of one-dimensional models. The theory of three-dimensional models will be considered in a forthcoming volume. The author would like to thank H. Lotsch and H. Zorsky who read the manuscript and offered many suggestions.

Advances in Doublet Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 354049636X
Total Pages : 225 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advances in Doublet Mechanics by : Mauro Ferrari

Download or read book Advances in Doublet Mechanics written by Mauro Ferrari and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recently proposed, fully multi-scale theory of doublet mechanics offers unprecented opportunities to reconcile the discrete and continuum representations of solids while maintaining a simple analytical format and full compatibility with lattice dynamics and continuum mechanics. In this monograph, a self-contained account of the state of the art in doublet mechanics is presented. Novel results in the elastodynamics of microstructured media are reported, including the identification of a new class of dispersive surface waves, and the presentation of methods for the experimental determination of the essential microstructural parameters. The relationships between doublet mechanics, lattice dynamics, and continuum theories are examined, leading to the identification of the subject areas in which the use of doublet mechanics is most advantageous. These areas include the analysis of domains as diverse as micro-electro-mechanical systems (MEMS), granular and particulate media, nanotubes, and peptide arrays.

Selected Papers of Morikazu Toda

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Publisher : World Scientific
ISBN 13 : 9789810214692
Total Pages : 336 pages
Book Rating : 4.2/5 (146 download)

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Book Synopsis Selected Papers of Morikazu Toda by : Morikazu Toda

Download or read book Selected Papers of Morikazu Toda written by Morikazu Toda and published by World Scientific. This book was released on 1993 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers of Dr Morikazu Toda. The papers are arranged in chronological order of publishing dates. Among Dr Toda's many contributions, his works on liquids and nonlinear lattice dynamics should be mentioned. The one-dimensional lattice where nearest neighboring particles interact through an exponential potential is called the Toda lattice which is a miracle and indeed a jewel in theoretical physics. The papers in this volume can be grouped into five subjects: statistical mechanics, theory of liquids and solutions, lattice dynamics, Toda lattice and soliton theory and its applications.

Synergetics — From Microscopic to Macroscopic Order

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Publisher : Springer Science & Business Media
ISBN 13 : 364269540X
Total Pages : 265 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Synergetics — From Microscopic to Macroscopic Order by : E. Frehland

Download or read book Synergetics — From Microscopic to Macroscopic Order written by E. Frehland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the International Symposium on "Synergetics - From Microscopic to Macroscopic Order", held at the Wissenschafts kolleg z~ Berlin (Institute for Advanced Study Berlin), on July 4-8, 1983. Further more, it contains a contribution of T. Ohta, who unfortunately could not partici pate in this meeting, on the evolution of mUltigene families. The papers discuss the evolution and the function of ordered structures from small microscopic scales up to large macroscopic dimensions. On the one hand, these structures derive from physical or biological systems; on the other hand, they also affect economic, sociological and philosophical questions. I would like to thank the Wissenschaftskolleg zu Berlin for the extraordinary support and hospitality during my one year's stay there as a fellow, which made the planning, preparation and organization of this symposium possible. I would also like to acknowledge the work of B. Fritsch and D. Dorner who actively participated in this undertaking. I am grateful to Professor Haken, the founder of synergetics, whose participation in the planning and styling of the concept of the conference was essential. I am especially thankful to Mrs. U. Monigatti for her indefatigable help with the prep aration and organization of the conference. The financial support was provided by the "Deutsche Forschungsgemeinschaft". Berlin, November 1983 E. Frehland Contents Some Introductory Remarks on Synergetics By H. Haken ...

Evolution of Order and Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 364268808X
Total Pages : 294 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Evolution of Order and Chaos by : Hermann Haken

Download or read book Evolution of Order and Chaos written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the invited lectures presented at the International Sym posium on Synergetics at Schloss Elmau in April, 1982. This symposium marked the th 10 anniversary of symposia on synergetics, the first of which was held at Schloss Elmau in 1972. As is now weIl known, these symposia are devoted to the study of the formation of structures in physical systems far from thermal equilibrium, as weIl as in nonphysical systems such as those in biology and sociology. While the first proceedings were published by Teubner Publishing Company in 1973 and the second by North Holland Publishing Company in 1974, the subsequent proceed ings have been published in the Springer Series in Synergetics. I believe that these proceedings give a quite faithful picture of the developments in this new interdisciplinary field over the past decade. As H.J. Queisser recently noted, the prefix "non", which is used quite frequent ly in modern scientific literature in words such as "nonequilibrium", "nonlinear", etc., indicates a new development in scientific thinking. Indeed, this new develop ment was anticipated and given a framework in the introduction of "synergetics" more than a decade ago.

Selected Papers Of Morikazu Toda

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Publisher : World Scientific
ISBN 13 : 9814502901
Total Pages : 330 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Selected Papers Of Morikazu Toda by : Miki Wadati

Download or read book Selected Papers Of Morikazu Toda written by Miki Wadati and published by World Scientific. This book was released on 1993-10-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers of Dr Morikazu Toda. The papers are arranged in chronological order of publishing dates. Among Dr Toda's many contributions, his works on liquids and nonlinear lattice dynamics should be mentioned. The one-dimensional lattice where nearest neighboring particles interact through an exponential potential is called the Toda lattice which is a miracle and indeed a jewel in theoretical physics. The papers in this volume can be grouped into five subjects: statistical mechanics, theory of liquids and solutions, lattice dynamics, Toda lattice and soliton theory and its applications.

Analysis, Modeling and Simulation of Multiscale Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540356576
Total Pages : 704 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analysis, Modeling and Simulation of Multiscale Problems by : Alexander Mielke

Download or read book Analysis, Modeling and Simulation of Multiscale Problems written by Alexander Mielke and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.

Single-Cell-Based Models in Biology and Medicine

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Publisher : Springer Science & Business Media
ISBN 13 : 376438123X
Total Pages : 346 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Single-Cell-Based Models in Biology and Medicine by : Alexander Anderson

Download or read book Single-Cell-Based Models in Biology and Medicine written by Alexander Anderson and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

Applied Physics

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ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.2/5 (25 download)

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Book Synopsis Applied Physics by :

Download or read book Applied Physics written by and published by . This book was released on 1983 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Phenomena in Chemical Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642817785
Total Pages : 287 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Phenomena in Chemical Dynamics by : C. Vidal

Download or read book Nonlinear Phenomena in Chemical Dynamics written by C. Vidal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international conference. titled Nonlinear Phenomena in Chemical Dynamics was held in Bordeaux on September 7-11, 1981. The present volume contains the text of lectures and abstracts of posters presented during the meeting. This conference is part of a series of scientific multidisciplinary meetings in which chemistry is involved at various levels. Amongst the most recent ones let us mention Aachen 1979, Bielefeld 1979, New York 1979, Elmau 1981. In addition, this meeting is a direct extension of the first one that took place in Bordeaux in 1978 on the topic "Far from equilibrium: instabilities and structures," at the conclusions of which we could write (cf. Far fram Equilibrium, Springer Series in Synergetics, Vol. 3): "The three key words, far fram equilibriUm, instabilities and structuPes, best illustrate the new concepts which emerge from the description of the dynamics of various systems relevant to many different research areas. " The present proceedings show how much these remarks have remained true, even though substantial progress has been achieved during the three last years. To get a ,deeper experimental knowledge of open reacting systems, to model and simulate reaction-diffusion systems, to develop the mathematical theory of dynamical sys tems, these are the main direction~ in current investigations.