Overview

This collection of articles forms a cohesive text on the rapidly evolving field of nonlinear dynamics of continous systems. It addresses researchers but it can also be used as a text for graduate work. The authors demonstrate through numerous examples the use of common tools of mathematical analyses and dynamical interpretations for the study of nonlinear phenomena. Instead of providing a comprehensive overview of the rapidly evolving field, the contributors treat the essence of what is known about the formation of spontaneous structures in dissipative continuous systems and about the competition between order and chaos that characterizes those systems. The topics discussed in this volume range from mathematical foundations to interpretations of concrete phenomena in fluids, chemical reactions, structure forming processes in semiconductors and even granular matter.

Full Product Details

Author:   Friedrich H. Busse ,  Stefan C. Müller
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   55
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.908kg
ISBN:  

9783642084553

ISBN 10:   3642084559
Pages:   586
Publication Date:   17 September 2011
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Mathematical Tools for Pattern Formation.- Formation of Dynamical Structures in Axisymmetric Fluid Systems.- Pattern Formation in Binary Fluid Convection and in Systems with Throughflow.- Dynamical Structures in Open Fluid Systems.- Theoretical and Experimental Investigations of the Faraday Instability.- Pattern Formation in an Inhomogeneous Environment.- Electrically Driven Instabilities in Smectic Liquid Crystal Films.- Electrohydrodynamic Convection in Nematics.- Dynamics of Patterns of Chemical Reactions on Surfaces.- Convection and Pattern Formation Induced by Autocatalytic Chemical Reactions.- Formation of Spatio-Temporal Structures in Semiconductors.- Formation of Patterns in Granular Materials.- Spontaneous Generation of Magnetic Fields in the Laboratory.- From Single Cells to a Multicellular Organism: The Development of the Social Amoebae Dictyostelium Discoideum.

Reviews

From the reviews: Overall, the book is a remarkable achievement, bringing together as it does so many of the strands ofresearch in so many different fields of physics and mathematics, and managing to present a digestible mixture of experiment and theory in almost every article. (UK Nonlinear News, 2001)

" From the reviews: ""Overall, the book is a remarkable achievement, bringing together as it does so many of the strands ofresearch in so many different fields of physics and mathematics, and managing to present a digestible mixture of experiment and theory in almost every article."" (UK Nonlinear News, 2001)"

From the reviews: Overall, the book is a remarkable achievement, bringing together as it does so many of the strands ofresearch in so many different fields of physics and mathematics, and managing to present a digestible mixture of experiment and theory in almost every article. (UK Nonlinear News, 2001)

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