Mathematical physics

WAVE TURBULENCE is a state of a system of many simultaneously excited and interacting waves characterized by an energy distribution which is not in any sense close to thermodynamic equilibrium.

Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set.

A broad overview of recent developments in computer simulation studies of condensed matter systems is provided in this book.

Lnear prediction theory and the related algorithms have matured to the point where they now form an integral part of many real-world adaptive systems.

7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics.

Computational methods pertaining to many branches of science, such as physics, physical chemistry and biology, are presented.

Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years.

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field.

Neural and Synergetic Computers deals with basic aspect ofthis rapidly developing field.

Given the problems of the environment in relation to the ever-growing civi- lization activities of man, it is not surprising that in recent years more and more related data have been collected, phenomena have been observed and concerns have been expressed.

The present work is not exactly a "e;course"e;, but rather is presented as a monograph in which the author has set forth what are, for the most part, his own results; this is particularly true of Chaps.

This text on the statistical theory of nonequilibrium phenomena grew out of lecture notes for courses on advanced statistical mechanics that were held more or less regularly at the Physics Department of the Technical University in Munich.

Since 1972 the Schools on Nonlinear Physics in Gorky have been a meeting place for Soviet scientists working in this field.

Eine gleichermaßen aktuelle wie zusammenfassende Darstellung der wichtigsten Methoden zur Untersuchung der klassischen Gruppen fehlte bislang in deutschsprachigen Lehrbüchern.

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68.

In the case of completely integrable systems, periodic solutions are found by inspection.

In many areas of mechanics the interplay between mathematics and physics is crucial for understanding not only underlying principles but also practical applications.

Open nonlinear systems are capable of self-organization in space and time.

Real problems concerning vibrations of elastic structures are among the most fascinating topics in mathematical and physical research as well as in applications in the engineering sciences.

This book is a textbook for graduate or advanced undergraduate students in mathematics and (or) mathematical physics.

One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity.

In this book the author discusses the investigation of ion bombardment of solids by computer simulation, with the aim of demonstrating the usefulness of this approach to the problem of interactions of ions with solids.

Hydrogen can behave as an alkaline metal or a halogen and can react with nearly all elements of the periodic table.

My dear friends, I am very pleased and honored to give the opening address in the first Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics.

Lasers and Synergetics, written to honour Hermann Haken on his 60th birthday, is concerned with the two main areas of research to which Prof.

Rhythms of the heart and of the nervous and endocrine system, breathing, locomotory movements, sleep, circadian rhythms and tissue cell cycles are major elements of the temporal order of man.

Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics.

The formation and evolution of complex dynamical structures is one of the most exciting areas of nonlinear physics.

In part I of this book a dynamic migratory model connecting the microlevel of individual migration trends with the macrolevel of interregional migration is developed.

This book contains the invited papers presented at an international sympo- sium held at Schloss Elmau, Bavaria (FRG), May 4-9, 1987.

This volume contains the written versions of invited lectures and abstracts of seminars presented at the 26th "e;Universitatswochen fiir Kernphysik"e; (Uni- versity nuclear physics weeks) in Schladming, Austria, in February 1987.

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.

These proceedings contain the papers contributed to the International Work- shop on "e;Dimensions and Entropies in Chaotic Systems"e; at the Pecos River Conference Center on the Pecos River Ranch in Spetember 1985.

The material included in this book was first presented in a series of lectures de- livered at the University of Minnesota in June 1983 in connection with the con- ference "e;Thermodynamics and Phase Transitions"e;.

Investigations in modem nonlinear analysis rely on ideas, methods and prob- lems from various fields of mathematics, mechanics, physics and other applied sciences.

The main aim of these lectures is to tri gger the interest of the restless under- graduate student of physical, mathematical, engineering, or biological sciences in the new and exciting multidisciplinary area of the evolution of "e;large-scale"e; dynamical systems.

Synergetics may be considered as an interdisciplinary effort dealing with the gene- ral problem of how science can cope with complex systems.

This is a textbook written for use in a graduate-level course for students of mechanics and engineering science.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

According to its definition, synergetics is concerned with the cooperation of indi- vidual parts of a system that produces macroscopic temporal, spatial or functional structures.

Markov processes play an important role in the study of probability theory.

This book contains the invited papers of the interdisciplinary workshop on "e;Stochastic Nonlinear Systems in Physics, Chemistry and Biology"e; held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980.

The first edition of this book was greeted with broad interest from readers en- gaged in various disciplines of biophysics.

This book contains the invited papers of an international symposium on Synergetics which was held at ZIF (Center for interdisciplinary research) at Bielefeld.