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The review articles in this book treat the overall nonlinear and complex behavior of nature from the viewpoint of such diverse research fields as fluid mechanics, condensed matter physics, biophysics, biochemistry, biology, and applied mathematics. Attention is focussed on a broad and comprehensive overview of recent developments and perspectives. Particular attention is given to the so-far unsolved problem of how to capture the mutual interplay between the microscopic and macroscopic dynamics that extend over various length and time scales. The book addresses researchers as well as graduate...

Concepts of nonlinear physics are applied to an increasing number of research disciplines. With this volume, the editors offer a selection of articles on nonlinear topics in progress, ranging from physics and chemistry to biology and some applications of social science. The book covers quantum optics, electron crystallization, cellular or flow patterns in fluids and in granular media, biological systems, and the control of brain structures via neuronal excitation. Chemical patterns are looked at both in bulk solutions and on surfaces in heterogeneous systems. From regular structures, the...

Integrating nano and microphysical effects, this book's team of expert authors offers new insights into self-organized structure formation in nanomaterials. A major question addressed in this book is the role of spatial and temporal order. In particular, you'll discover how to apply concepts developed on macroscopic and microscopic scales to structure formation occurring on nanoscales, a key focus of interest at the frontiers of science.

Integrating nano and microphysical effects, this book's team of expert authors offers new insights into self-organized structure formation in nanomaterials. A major question addressed in this book is the role of spatial and temporal order. In particular, you'll discover how to apply concepts developed on macroscopic and microscopic scales to structure formation occurring on nanoscales, a key focus of interest at the frontiers of science.

Local and global spatial coupling mechanisms form the basis of transport processes that are of fundamental importance for the occurrence and the dynamic evolution of patterns on a mesoscopic and macroscopic scale. The present volume deals with these concepts and investigates applications in the fields of biophysics and chemistry.

A study of nonlinear media, this work covers: quantum chaos in Rydberg atoms; crystallization of electrons and holes; natural patterns in nonequilibrium systems; linear aspects of the Faraday instability; and nonlinear flow behaviour and shear-induced structure of fluids.

Our life is a highly nonlinear process. It starts with birth and ends with death; in between there are a lot of ups and downs. Quite often, we believe that stable and steady situations, probably easy to capture by linearization, are paradisiacal, but already after a short period of everyday routine we usually become bored and seek change, that is, nonlinearities. If we reflect for a while, we notice that our life and our perceptions are mainly determined by nonlinear phenomena, for example, events occurring suddenly and unexpectedly. One may be surprised by how long scientists tried to...