Bøger i Springer Series in Synergetics serien

Contrary to monographs on non-linear optics this book concentrates on problems of self-organization in various important contexts.

This title is included in the Springer Complexity programme.

The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Using simple models this book shows how we can gain insights into the behavior of complex systems. The authors have chosen a series of models from physics, biochemistry, biology, sociology and economics, and systematically discuss their general properties. The book addresses researchers and graduate students in a variety of disciplines.

Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology.

This classic text and reference collects the many formulae and methods that can be found in the scientific literature on stochastic methods. This fourth edition has been thoroughly updated and restructured, and features a large amount of entirely new material.

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 book introduces the theory of graphs and random walks on graphs, covers methods for exploring the structure of finite connected graphs and databases, and details applications in electric resistance networks, urban planning, linguistic databases and more.

This volume reviews the theory and simulation methods of stochastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory.

This book shows how to appreciate a nonlinear world in which measures of space-time conflict. Starting with an analysis of chaos and randomness, it covers renormalization group theory, phenomena modeling, and how physicists can approach the study of biology.

This book integrates the theories of complex self-organizing systems with the rich body of discourse and literature developed in what might be called 'social theory of cities and urbanism'. It uses techniques from dynamical complexity and synergetics to successfully tackle open social science questions.

This is the first textbook to include the matrix continued-fraction method, which is very effective in dealing with simple Fokker-Planck equations having two variables. Other methods covered are the simulation method, the eigen-function expansion, numerical integration, and the variational method.

This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

This book presents a novel approach to neural nets and thus offers a genuine alternative to the hitherto known neuro-computers. The new edition includes a section on transformation properties of the equations of the synergetic computer and on the invariance properties of the order parameter equations.

This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few.

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.

Develops and explains the foundations of noise-induced processes. Following an introduction to the mathematical tools, this book analyzes the occurrence and the properties of noise-induced transitions for rapidly fluctuating environments describable by the white-noise idealization. It considers more realistic and general types of colored noises.

This book lays out a vision for a coherent framework for understanding complex systems. By developing the genuine idea of Brownian agents, the author combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics.

From the reviews: "This book is very well written and contains many important and new original results that certainly play an important role in today's nonlinear optics." Physicalia

In the new chapter 13 it will be shown, however, that there is an important interplay between Shannon and semantic information and that, in particular, the latter plays a decisive role in the fixation of Shannon information and, in cognitive processes, al lows a drastic reduction of that information.

This classic and revised text provides an excellent introduction and survey to the continuously expanding field of quantum chaos. Each chapter is accompanied by a selection of problems which will help the newcomer to test and deepen their understanding.

This book, a useful self-study guide, addresses the fundamental question on how to construct mathematical models for the evolution of dynamical systems from experimentally obtained time series. There is emphasis is on chaotic signals and nonlinear modelling.

Extensively revised, expanded and updated for the new edition, this book offers a comprehensive introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours.

Asymptotic methods are of great importance for practical applications, especially in dealing with boundary value problems for small stochastic perturbations. The most likely exit point and expected escape time are determined with singular perturbation methods for the corresponding Fokker-Planck equation.

Dynamics of Nonlinear Time-Delay Systems presents the fundamentals of chaotic time-delay systems and their synchronization, with an emphasis on the effects of time-delay feedback. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, which includes some higher order models.

The vulnerability of our civilization to earthquakes is rapidly growing, rais ing earthquakes to the ranks of major threats faced by humankind. - Fundamental understanding of the lithosphere gained in earthquake prediction research. In addition, the theory of optimal control is used to link earthquake prediction with earthquake preparedness.