Stochastic Nonlinear Systems In Physics Chemistry And Biology

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Stochastic Nonlinear Systems in Physics, Chemistry, and Biology

Author : L. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3642680380
Total Pages : 239 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Stochastic Nonlinear Systems in Physics, Chemistry, and Biology by : L. Arnold

Download or read book Stochastic Nonlinear Systems in Physics, Chemistry, and Biology written by L. Arnold and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) ............................. .

Stochastic Nonlinear Systems in Physics, Chemistry, and Biology

Author :
Publisher :
ISBN 13 : 9780038710737
Total Pages : 0 pages
Book Rating : 4.7/5 (17 download)

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Book Synopsis Stochastic Nonlinear Systems in Physics, Chemistry, and Biology by :

Download or read book Stochastic Nonlinear Systems in Physics, Chemistry, and Biology written by and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Nonlinear Systems in Physics, Chemistry, and Biology

Author : L. Arnold
Publisher :
ISBN 13 :
Total Pages : 237 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Stochastic Nonlinear Systems in Physics, Chemistry, and Biology by : L. Arnold

Download or read book Stochastic Nonlinear Systems in Physics, Chemistry, and Biology written by L. Arnold and published by . This book was released on 1981 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes in Physics, Chemistry, and Biology

Author : Jan A. Freund
Publisher : Springer
ISBN 13 : 3540453962
Total Pages : 512 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Stochastic Processes in Physics, Chemistry, and Biology by : Jan A. Freund

Download or read book Stochastic Processes in Physics, Chemistry, and Biology written by Jan A. Freund and published by Springer. This book was released on 2008-01-11 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of stochastic processes originally grew out of efforts to describe Brownian motion quantitatively. Today it provides a huge arsenal of methods suitable for analyzing the influence of noise on a wide range of systems. The credit for acquiring all the deep insights and powerful methods is due ma- ly to a handful of physicists and mathematicians: Einstein, Smoluchowski, Langevin, Wiener, Stratonovich, etc. Hence it is no surprise that until - cently the bulk of basic and applied stochastic research was devoted to purely mathematical and physical questions. However, in the last decade we have witnessed an enormous growth of results achieved in other sciences - especially chemistry and biology - based on applying methods of stochastic processes. One reason for this stochastics boom may be that the realization that noise plays a constructive rather than the expected deteriorating role has spread to communities beyond physics. Besides their aesthetic appeal these noise-induced, noise-supported or noise-enhanced effects sometimes offer an explanation for so far open pr- lems (information transmission in the nervous system and information p- cessing in the brain, processes at the cell level, enzymatic reactions, etc.). They may also pave the way to novel technological applications (noise-- hanced reaction rates, noise-induced transport and separation on the na- scale, etc.). Key words to be mentioned in this context are stochastic r- onance, Brownian motors or ratchets, and noise-supported phenomena in excitable systems.

Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology

Author : L. Schimansky-Geier
Publisher : World Scientific
ISBN 13 : 9812706917
Total Pages : 454 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology by : L. Schimansky-Geier

Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by L. Schimansky-Geier and published by World Scientific. This book was released on 2007 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research. The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.

Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology

Author :
Publisher :
ISBN 13 : 9814475793
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology by :

Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Chemical Reaction Systems in Biology

Author : Hong Qian
Publisher : Springer Nature
ISBN 13 : 3030862526
Total Pages : 364 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Stochastic Chemical Reaction Systems in Biology by : Hong Qian

Download or read book Stochastic Chemical Reaction Systems in Biology written by Hong Qian and published by Springer Nature. This book was released on 2021-10-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.

Nonlinear Dynamics of Chaotic and Stochastic Systems

Author : Vadim S. Anishchenko
Publisher : Springer Science & Business Media
ISBN 13 : 3540381686
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Nonlinear Dynamics of Chaotic and Stochastic Systems by : Vadim S. Anishchenko

Download or read book Nonlinear Dynamics of Chaotic and Stochastic Systems written by Vadim S. Anishchenko and published by Springer Science & Business Media. This book was released on 2007-07-20 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.

From Chemical to Biological Organization

Author : Mario Markus
Publisher : Springer Science & Business Media
ISBN 13 : 3642736882
Total Pages : 360 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis From Chemical to Biological Organization by : Mario Markus

Download or read book From Chemical to Biological Organization written by Mario Markus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Open nonlinear systems are capable of self-organization in space and time. This realization constitutes a major breakthrough of modern science, and is currently at the origin of explosive developments in chemistry, physics and biology. Observations and numerical computations of nonlinear systems surprise us by their inexhaustible and sometimes nonintuitive variety of structures with different shapes and functions. But as well as variety one finds on closer inspection that nonlinear phenomena share universal aspects of pattern formation in time and space. These similarities make it possible to bridge the gap between inanimate and living matter at various levels of complexity, in both theory and experiment. This book is an account of different approaches to the study of this pattern formation. The universality of kinetic, thermodynamic and dimensional approaches is documented through their application to purely mathematical, physical and chemical systems, as well as to systems in nature: biochemical, cellular, multicellular, physiological, neurophysiological, ecological and economic systems. Hints given throughout the book allow the reader to discover how to make use of the principles and methods in different fields of research, including those not treated explicitly in the book.

Order and Chaos in Nonlinear Physical Systems

Author : Stig Lundqvist
Publisher : Springer Science & Business Media
ISBN 13 : 1489920587
Total Pages : 482 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Order and Chaos in Nonlinear Physical Systems by : Stig Lundqvist

Download or read book Order and Chaos in Nonlinear Physical Systems written by Stig Lundqvist and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the theoretical description of patterns and instabilities and their relevance to physics, chemistry, and biology. More specifically, the theme of the work is the theory of nonlinear physical systems with emphasis on the mechanisms leading to the appearance of regular patterns of ordered behavior and chaotic patterns of stochastic behavior. The aim is to present basic concepts and current problems from a variety of points of view. In spite of the emphasis on concepts, some effort has been made to bring together experimental observations and theoretical mechanisms to provide a basic understanding of the aspects of the behavior of nonlinear systems which have a measure of generality. Chaos theory has become a real challenge to physicists with very different interests and also in many other disciplines, of which astronomy, chemistry, medicine, meteorology, economics, and social theory are already embraced at the time of writing. The study of chaos-related phenomena has a truly interdisciplinary charac ter and makes use of important concepts and methods from other disciplines. As one important example, for the description of chaotic structures the branch of mathematics called fractal geometry (associated particularly with the name of Mandelbrot) has proved invaluable. For the discussion of the richness of ordered structures which appear, one relies on the theory of pattern recognition. It is relevant to mention that, to date, computer studies have greatly aided the analysis of theoretical models describing chaos.

Nonlinear Systems with Stochastic Fluctuations

Author : Wei Xu
Publisher : Walter de Gruyter
ISBN 13 : 9783110313130
Total Pages : 200 pages
Book Rating : 4.3/5 (131 download)

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Book Synopsis Nonlinear Systems with Stochastic Fluctuations by : Wei Xu

Download or read book Nonlinear Systems with Stochastic Fluctuations written by Wei Xu and published by Walter de Gruyter. This book was released on 2016-07 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers some typical nonlinear dynamical systems with various random noises. It presents the reviews about nonlinear and stochastic dynamics, with some historic background and recent developments. Theoretical and numerical approaches will be carried out for some typical nonlinear dynamical systems. It is written with a wide audience in mind and presents basic techniques for readers to learn and investigate stochastic dynamics. This book serves as a reference book or textbook for students and researchers in mathematics, engineering, physics, chemistry, biology and social sciences, and other professionals who are interested in the subject and help them quickly get into the field and ready for studies.

Modelling the Dynamics of Biological Systems

Author : Erik Mosekilde
Publisher : Springer Science & Business Media
ISBN 13 : 3642792901
Total Pages : 300 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Modelling the Dynamics of Biological Systems by : Erik Mosekilde

Download or read book Modelling the Dynamics of Biological Systems written by Erik Mosekilde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.

Stochastic Phenomena and Chaotic Behaviour in Complex Systems

Author : Peter Schuster
Publisher : Springer Science & Business Media
ISBN 13 : 3642695914
Total Pages : 278 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Stochastic Phenomena and Chaotic Behaviour in Complex Systems by : Peter Schuster

Download or read book Stochastic Phenomena and Chaotic Behaviour in Complex Systems written by Peter Schuster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains all invited contributions of an interdisciplinary workshop of the UNESCO working group on systems analysis of the European and North American region entitled "Stochastic Phenomena and Chaotic Behaviour in Complex Systems". The meeting was held at Hotel Winterthalerhof in Flattnitz, Karnten, Austria from June 6-10, 1983. This workshop brought together some 20 mathematicians, physicists, chemists, biologists, psychologists and economists from different European and American coun tries who share a common interest in the dynamics of complex systems and their ana lysis by mathematical techniques. The workshop in Flattnitz continued a series of meetings of the UNESCO working group on systems analysis which started in 1977 in Bucharest and was continued in Cambridge, U.K., 1981 and in Lyon, 1982. The title of the meeting was chosen in order to focus on one of the current problems of the analysis of dynamical systems. A deeper understanding of the vari ous sources of stochasticity is of primary importance for the interpretation of experimental observations. Chaotic dynamics plays a central role since it intro duces a stochastic element into deterministic systems.

Nonlinear Fokker-Planck Equations

Author : T.D. Frank
Publisher : Springer Science & Business Media
ISBN 13 : 3540212647
Total Pages : 414 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Nonlinear Fokker-Planck Equations by : T.D. Frank

Download or read book Nonlinear Fokker-Planck Equations written by T.D. Frank and published by Springer Science & Business Media. This book was released on 2005-01-07 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a solid foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions. It emphasizes principles and notions of the theory (e.g. self-organization, stochastic feedback, free energy, and Markov processes), while also illustrating the wide applicability (e.g. collective behavior, multistability, front dynamics, and quantum particle distribution). The focus is on relaxation processes in homogeneous many-body systems describable by nonlinear Fokker-Planck equations. Also treated are Langevin equations and correlation functions. Since these phenomena are exhibited by a diverse spectrum of systems, examples and applications span the fields of physics, biology and neurophysics, mathematics, psychology, and biomechanics.

Selforganization by Nonlinear Irreversible Processes

Author : Werner Ebeling
Publisher : Springer Science & Business Media
ISBN 13 : 3642710042
Total Pages : 228 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Selforganization by Nonlinear Irreversible Processes by : Werner Ebeling

Download or read book Selforganization by Nonlinear Irreversible Processes written by Werner Ebeling and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings contain invited lectures presented at the third Interna tional Conference on "Irreversible Processes and Dissipative Structures" in Kiihlungsborn (German Democratic Republic) in March, 1985. These con ferences, the first of which was held in Rostock in 1977 and the second in Berlin in 1982, are devoted to the study of irreversible processes far from thermal equilibrium and to the phenomena of selforganization. The meet ing in Kiihlungsborn brought together some 160 mathematicians, physicists, chemists and biologists from 10 countries, who are all interested in the inter disciplinary field of synergetics. The main topics of the conference were basic concepts of selforganization and evolution, such as entropy, instabilities, nucleation, dissipative struc tures, chaos and turbulence. The contributions cover methods from ther modynamics, the theory of dynamic systems, stochastic and statistic theory, the method of Green's functions, the fluctuation-dissipation theorem, etc. Several problems are studied in more detail, e.g., the kinetics of nucleation especially in finite systems, the dynamics of interfaces, reaction-diffusion sys tems, chemical and biochemical pattern formation and information process ing. Further, several contributions are devoted to the development of the concepts of chaos and turbulence. The editors hope that the contributions collected in this volume will pro vide some new information about the field of selforganization, which is in full development now.

Nonlinear Nonequilibrium Thermodynamics II

Author : Rouslan L. Stratonovich
Publisher : Springer Science & Business Media
ISBN 13 : 3662030705
Total Pages : 237 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Nonlinear Nonequilibrium Thermodynamics II by : Rouslan L. Stratonovich

Download or read book Nonlinear Nonequilibrium Thermodynamics II written by Rouslan L. Stratonovich and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuational dissipative thermodynamics. This area of research has taken shape rather recently: its de~elopment began in 1959. The earlier theory - linear nonequilibrium ther modynamics - is in principle a simple special case of the new theory. Despite the fact that the title of the book includes the word 'nonlinear', it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unjty of this dis cipline, the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. There one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less known than their linear counterparts. The present second volume of the book deals with the advanced theory. It consists of four chapters. The connection and interdependence of the material in the various chapters of both volumes are illustrated in the accompanying diagram.

Cooperative Dynamics in Complex Physical Systems

Author : Hajime Takayama
Publisher : Springer Science & Business Media
ISBN 13 : 3642745547
Total Pages : 356 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Cooperative Dynamics in Complex Physical Systems by : Hajime Takayama

Download or read book Cooperative Dynamics in Complex Physical Systems written by Hajime Takayama and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many novel cooperative phenomena found in a variety of systems studied by scientists can be treated using the uniting principles of synergetics. Examples are frustrated and random systems, polymers, spin glasses, neural networks, chemical and biological systems, and fluids. In this book attention is focused on two main problems. First, how local, topological constraints (frustrations) can cause macroscopic cooperative behavior: related ideas initially developed for spin glasses are shown to play key roles also for optimization and the modeling of neural networks. Second, the dynamical constraints that arise from the nonlinear dynamics of the systems: the discussion covers turbulence in fluids, pattern formation, and conventional 1/f noise. The volume will be of interest to anyone wishing to understand the current development of work on complex systems, which is presently one of the most challenging subjects in statistical and condensed matter physics.