الفيزياء الرياضية Springer series in synergetics

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Springer series in synergetics


Nonlinear Waves and Solitons on Contours and Closed Surfaces



Andrei Ludu "Nonlinear Waves and Solitons on Contours and Closed Surfaces"
Springer | 2007 | ISBN: 3540728724 | 466 pages | PDF | 14 MB


The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems.

The first part of the book introduces the mathematical concept required for treating the manifolds considered. Emphasis on the relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given.

The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics.

This book is intended for graduate students and researchers in mathematics, physics and engineering.

http://uploading.com/files/ZPQISTRM/3540728724.zip.html

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Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology



W. Horsthemke, R. Lefever - Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology
Springer | 2007 | ISBN: 3540113592 | Pages: 318 | PDF | 14.83 MB

This classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems.

http://uploading.com/files/WQ0I9QXD/oo22.rar.html
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Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path
Integrals



by Vladimir G. Ivancevic, Tijana T. Ivancevic "Complex Nonlinearity:
Chaos, Phase Transitions, Topology Change and Path Integrals (Understanding Complex Systems)"
Springer | Pages: 844 | 2008 | ISBN: 3540793569 | PDF | 26 Mb


Product Description:


Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change.


The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals.


The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia.

http://uploading.com/files/P693AQU2/CoNonlinea.rar.html

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Turbulence and Diffusion: Scaling Versus Equations



Turbulence and Diffusion: Scaling Versus Equations (Springer Series in Synergetics)
Springer | ISBN: 354068221X | 2008 | PDF | 268 pages | 6 Mb


This book is an introduction to the multidisciplinary field of anomalous diffusion in complex systems, with emphasis on the scaling approach as opposed to techniques based on the quantitative analysis of underlying transport equations. Typical examples of such systems are turbulent plasmas, convective rolls, zonal flow systems and stochastic magnetic fields.

From the more methodological point of view, the approach relies on the general use of correlations estimates, quasilinear equations and continuous time random walk techniques. Yet, the mathematical descriptions are not meant to become a fixed set of recipes but rather develop and strengthen the reader's physical intuition and understanding on the underlying mechanisms involved.

Most of the material stems from class-tested lectures, where graduate students where assumed to have a working knowledge of classical physics, fluid dynamics and plasma physics but otherwise no prior knowledge of the subject matter is assumed from the side of the reader.

http://w18.easy-share.com/1702664141.html
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http://rapidshare.com/files/169750858/dr1X.zip
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Synchronization: From Simple to Complex


Synchronization: From Simple to Complex
Publisher: Springer | Pages: 426 | 2008 | ISBN 3540721274 | PDF | 14 MB

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from human heart to neural networks. The authors study this phenomenon as applied to oscillations of different nature such as those with periodic, chaotic, noisy and noise-induced nature, reveal the general mechanisms behind synchronization, and bring to light other important effects that accompany synchronization such as phase multistability, dephasing and multimode interaction. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating system can be described in the framework of the general approach.

http://w18.easy-share.com/1702564905.html

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Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools


Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools
Publisher: Springer | Pages: 528 | 2006 | ISBN 3540308822 | PDF | 7 MB

Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in geophysics and meteorology.

http://rapidshare.com/files/238761574/Critical-Phenomena-Natural-Sciences-Selforganization.pdf
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http://uploading.com/files/BYV9UYZC/Critical-Phenomena-Natural-Sciences-Selforganization.pdf.html

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Information and Self-Organization: A Macroscopic Approach to Complex Systems


Information and Self-Organization: A Macroscopic Approach to Complex Systems
Publisher: Springer | Pages: 262 | 2006 | ISBN 3540330216 | PDF | 9 MB

This book presents the concepts needed to deal with self-organizing complex systems from a unifying point of view that uses macroscopic data. The various meanings of the concept "information" are discussed and a general formulation of the maximum information (entropy) principle is used. With the aid of results from synergetics, adequate objective constraints for a large class of self-organizing systems are formulated and examples are given from physics, life and computer science. The relationship to chaos theory is examined and it is further shown that, based on possibly scarce and noisy data, unbiased guesses about processes of complex systems can be made and the underlying deterministic and random forces determined. This allows for probabilistic predictions of processes, with applications to numerous fields in science, technology, medicine and economics. The extensions of the third edition are essentially devoted to an introduction to the meaning of information in the quantum context. Indeed, quantum information science and technology is presently one of the most active fields of research at the interface of physics, technology and information sciences and has already established itself as one of the major future technologies for processing and communicating information on any scale.

http://uploading.com/files/UASKJ0AT/3540330216.rar.html
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http://rapidshare.com/files/239040725/3540330216.rar
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Emergent Properties in Natural and Artificial Dynamical Systems


M.A. Aziz-Alaoui (Editor), C. Bertelle (Editor) "Emergent Properties in Natural and Artificial Dynamical Systems"
Springer | 2006 | ISBN: 3540348220 | 281 pages | PDF | 15,3 MB


The aim of this book is to study emergent properties arising through dynamical processes in various types of natural and artificial systems. It is related to multidisciplinary approaches in order to obtain several representations of complex systems using various methods to extract emergent structures.

Complex systems are a new scientific frontier which has emerged in the past decades with the advance of modern technology and the study of new parametric fields in natural systems. Emergence besides refers to the appearance of higher levels of system properties and behaviour that even if obviously originated in the collective dynamics of system’s components are neither found in nor directly deductible from the lower level properties of this system. Emergent properties are properties of the ‘whole’ not possessed by any of the individual parts making up this whole. Self-organization is one of the major conceptual keys to study emergent properties in complex systems.

Many scientific fields are concerned with self-organization for many years. Each scientific field describes and studies these phenomena using its own specific tools and concepts. In physics, self-organized vortex formation (von Karman streets), sand ripples, etc, are observed for a long time. Biology and life sciences are probably the major domains where self-organization regularly appears, like in immune system, neuronal systems, social insects, etc. Mathematics develops studies on the formalisation of self-organized order, for instance in synchronized chaotic systems. Computer science develops innovative models using distributed systems like multiagent systems or interactive networks, where some kind of dynamical organizations are detected during the simulations. Chemistry proposes a formalisation of dissipative structures on open and complex systems. Dissipative structures become a basis of conceptual developments towards some general theories that define the new science of complexity.

This book is organized as follows. In the first part, we introduce some general approaches on complex systems and their trajectories control. We address the important problem of controlling a complex system, because there is now evidence in industrial applications that transforming a complicated man-made system into a complex one is extremely beneficial as far as performance improvement is concerned. A well defined control law can be set so that a complex system described in very general terms can be made to behave in a prescribed way. Handling systems self-organization when passing from complicated to complex, rests upon the new paradigm of passing from classical trajectory space to more abstract task space.

The second part introduces natural system modeling. Bio-inspired methods and social insect algorithms are the tools for studying emergent organizations. Self-organized fluid structures are presented for ecosystem modeling. Automata-based models allow to simulate the dectected structures in terms of stabilization. DNA patterns of self-organization in complex molecular systems are presented.

In the third part we address chaotic dynamical systems and synchronization problem. An innovative geometrical methodology is given for modeling complex phenomena of oscillatory burst discharges that occur in real neuronal cells. Emergence of complex (chaotic) behaviour in synchronized (non chaotic) dynamical systems is also described.

The fourth part focuses on decision support systems. Automata-based systems for adaptive strategies are developed for game theory. This model can be generalized for self-organization modeling by genetic computation. Adaptive decentralized methods for medical system diagnosis are presented as emergent properties from a multiagent system. Outlines of a decision support system for agricultural water management are described as emergent results from complex interactions between a multiagent system and a constraint programming system.

Finally, part 5 and 6 deal with technological complex systems leading to invariable properties. This invariance which is an emergent result charaterizes self-organization. Spline functions are shown to be efficient and adapted formal tools to study and control these invariance properties in technological complex systems. Methodologies are given to control complex systems, by considering their whole behaviour, using feed-back processes based on final output analysis. Applicative studies on flexible robotic systems are shown.

http://www.fileflyer.com/view/hqmb1Bd
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Brain Dynamics: An Introduction to Models and Simulations



Hermann Haken "Brain Dynamics: An Introduction to Models and Simulations (Springer Series in Synergetics)"
Springer | 2008-02-01 | ISBN: 3540752366 | 347 pages | PDF | 2,7 MB


Brain Dynamics serves to introduce graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences. Some of the advanced chapters will also be of interest to the specialists. The book approaches the subject through pulse-coupled neural networks, with at their core the lighthouse and integrate-and-fire models, which allow for the highly flexible modelling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. Topics also include pulse-averaged equations and their application to movement coordination. The book closes with a short analysis of models versus the real neurophysiological system.

The second edition has been thoroughly updated and augmented by two extensive chapters that discuss the interplay between pattern recognition and synchronization. Further, to enhance the usefulness as textbook and for self-study, the detailed solutions for all 34 exercises throughout the text have been added.

http://uploading.com/files/3DMM274N/3540752366.rar.html
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Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments



Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments (Springer Series in Synergetics)
Springer | ISBN 3540381643 | 2007| PDF | 450 pages | 19.2 MB

This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters. The present book can thus be used either as a textbook by graduate students or as a modern monograph by researchers in this field. The second edition has been substantially enlarged to include sections on statistical properties of dynamical chaos, on effects of synchronization in oscillatory systems and on synchronization in living systems.

http://mihd.net/4l1boz​
 
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