Bøger i Springer Series in Synergetics serien

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.

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 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.

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.

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.

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.

This title is included in the Springer Complexity programme.

This book was written, to a not inconsiderable degree, on the basis of the course "The Problems of Modern Biophysics" which the author gives to the students and postgraduates of the Biophysical Department at Moscow University School of Physics.

Of the variety of nonlinear dynamical systems that exhibit deterministic chaos optical systems both lasers and passive devices provide nearly ideal systems for quantitative investigation due to their simplicity both in construction and in the mathematics that describes them.

Sec ond, because the methods of synergetics are penetrating such fields as eco nomics, I have included an economic model on the transition from full employ ment to underemployment in which I use the concept of nonequilibrium phase transitions developed elsewhere in the book.

Simi larly, the term "autowaves" de notes propagation effects - including waves - in active media, which provide spa tially distributed energy sources and thus may compensate dissipation.

Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems.

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".

Not only the human brain but also lower brains and ganglia of invertebrates are treated with electrophysical methods. A synopsis on brain functions leads to a new neuron assemblies doctrine, extending the concept of Sherrington, and new trends in this field.

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.

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.

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 contains the manuscripts of the papers delivered at the International Sym posium on Synergetics held at SchloB Elmau, Bavaria, Germany, from April 30 until May 5, 1979. This time the subject of the symposium was "pattern formation by dynam ic systems and pattern recognition".

Integrating the concepts of classical and elementary particle interaction, this volume includes stripped-down model equations adaptable to numerous systems showing particle-like structures, making it a valuable source for researchers and graduate students.

This book explores modern developments in Hamiltonian dynamical systems, focusing on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. Includes end-of-chapter exercises and challenging problems.

This book details the fundamental theory for non-standard diffusion problems in movement ecology. It features numerous exercises with solutions.

This book provides the first introduction to the multidisciplinary field of turbulent transport in complex systems. There is emphasis on the scaling approach as opposed to techniques based on the quantitative analysis of underlying transport equations.

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.

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.

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.

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.