Pattern Formation and Dynamics in Nonequilibrium Systems

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Publisher : Cambridge University Press
ISBN 13 : 1139480464
Total Pages : 547 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Pattern Formation and Dynamics in Nonequilibrium Systems by : Michael Cross

Download or read book Pattern Formation and Dynamics in Nonequilibrium Systems written by Michael Cross and published by Cambridge University Press. This book was released on 2009-07-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many exciting frontiers of science and engineering require understanding the spatiotemporal properties of sustained nonequilibrium systems such as fluids, plasmas, reacting and diffusing chemicals, crystals solidifying from a melt, heart muscle, and networks of excitable neurons in brains. This introductory textbook for graduate students in biology, chemistry, engineering, mathematics, and physics provides a systematic account of the basic science common to these diverse areas. This book provides a careful pedagogical motivation of key concepts, discusses why diverse nonequilibrium systems often show similar patterns and dynamics, and gives a balanced discussion of the role of experiments, simulation, and analytics. It contains numerous worked examples and over 150 exercises. This book will also interest scientists who want to learn about the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems.

Pattern Formation and Dynamics in Nonequilibrium Systems

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521770505
Total Pages : 547 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Pattern Formation and Dynamics in Nonequilibrium Systems by : Michael Cross

Download or read book Pattern Formation and Dynamics in Nonequilibrium Systems written by Michael Cross and published by Cambridge University Press. This book was released on 2009-07-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1468474790
Total Pages : 341 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by : Pierre Coullet

Download or read book New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena written by Pierre Coullet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.

Pattern Formation and Non-linear Dynamics of Non-equilibrium Systems

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Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Pattern Formation and Non-linear Dynamics of Non-equilibrium Systems by : Leonid Pechenik

Download or read book Pattern Formation and Non-linear Dynamics of Non-equilibrium Systems written by Leonid Pechenik and published by . This book was released on 2000 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

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Author :
Publisher : Springer
ISBN 13 : 9780306436925
Total Pages : 357 pages
Book Rating : 4.4/5 (369 download)

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Book Synopsis New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by : Pierre Coullet

Download or read book New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena written by Pierre Coullet and published by Springer. This book was released on 1991-08-31 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.

Patterns and Interfaces in Dissipative Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540304312
Total Pages : 383 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Patterns and Interfaces in Dissipative Dynamics by : L.M. Pismen

Download or read book Patterns and Interfaces in Dissipative Dynamics written by L.M. Pismen and published by Springer Science & Business Media. This book was released on 2006-07-07 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.

Dynamics of Self-Organized and Self-Assembled Structures

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Publisher : Cambridge University Press
ISBN 13 : 1139478842
Total Pages : 307 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Dynamics of Self-Organized and Self-Assembled Structures by : Rashmi C. Desai

Download or read book Dynamics of Self-Organized and Self-Assembled Structures written by Rashmi C. Desai and published by Cambridge University Press. This book was released on 2009-03-26 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical and biological systems driven out of equilibrium may spontaneously evolve to form spatial structures. In some systems molecular constituents may self-assemble to produce complex ordered structures. This book describes how such pattern formation processes occur and how they can be modeled. Experimental observations are used to introduce the diverse systems and phenomena leading to pattern formation. The physical origins of various spatial structures are discussed, and models for their formation are constructed. In contrast to many treatments, pattern-forming processes in nonequilibrium systems are treated in a coherent fashion. The book shows how near-equilibrium and far-from-equilibrium modeling concepts are often combined to describe physical systems. This inter-disciplinary book can form the basis of graduate courses in pattern formation and self-assembly. It is a useful reference for graduate students and researchers in a number of disciplines, including condensed matter science, nonequilibrium statistical mechanics, nonlinear dynamics, chemical biophysics, materials science, and engineering.

Pattern Formation in Liquid Crystals

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387946047
Total Pages : 362 pages
Book Rating : 4.9/5 (46 download)

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Book Synopsis Pattern Formation in Liquid Crystals by : Agnes Buka

Download or read book Pattern Formation in Liquid Crystals written by Agnes Buka and published by Springer Science & Business Media. This book was released on 1996-05-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume bridges two topics of considerable current interest: pattern formation in nonequilibrium phenomena and physics of liquid crystals, both active and diverse areas of research. Because liquid crystals form large-scale and regular patterns under the influence of a variety of applied fields they are fruitful materials to study the spontaneous formation and evolution of ordered and disordered patterns. The chapters, each by a noted researcher in the field, briefly summarize the fundamental work done in the 1960s but concentrate on reviewing results from the recent resurgence of interest in the field as well as indicating the direction of current work.

Patterns, Defects and Microstructures in Nonequilibrium Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400935595
Total Pages : 396 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Patterns, Defects and Microstructures in Nonequilibrium Systems by : D. Walgraef

Download or read book Patterns, Defects and Microstructures in Nonequilibrium Systems written by D. Walgraef and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most fascinating and intriguing aspects of natural phenomena is that complex systems may undergo symme try-breaking instabilities leading to pattern formation or coherent temporal behavior over macroscopic space and time scales. Therefore the understanding of why order may appear spontananeously in open systems far from equilibrium and which planforms are selected among a large manifold of possi bilities has become a major theme of research both theore- cally and experimentally. These studies, first related to fundamental questions, appear now to be of technological importance, especially for materials science problems. Effectively during the last years, the whole field of materials science experienced a complete renewal. By using techniques able to operate in strong nonequilibrium conditions and hence to escape from the constraints of equilibrium thermodynamics, totally new mate rials structures have been processed. Such techniques inclu de ion implantation, laser beam surface melting as well as electron beam heating. For example, ion implantation proces sing is able to create surfaces with compositions markedly different from the bulk, leading to materials having new electric, magnetic or chemical properties. In laser annea ling, after the tremendously rapid melting and recrystalliza tion of the sample surfaces, microstructures with superior resistance to friction, corrosion, ••• are frozen into place. Rapid solidification of alloys trigger the formation of quasi-crystalline structures. Ion beam mixing can modify the electrical properties of polymers or improve the adhesion of metallic films to ceramics.

The Dynamics Of Pattern

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Author :
Publisher : World Scientific
ISBN 13 : 9814494356
Total Pages : 338 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Dynamics Of Pattern by : Alexander B Ezersky

Download or read book The Dynamics Of Pattern written by Alexander B Ezersky and published by World Scientific. This book was released on 2000-10-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation.

Nonlinear Dynamics and Pattern Formation in the Natural Environment

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1351428268
Total Pages : 350 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Nonlinear Dynamics and Pattern Formation in the Natural Environment by : A. Van Harten

Download or read book Nonlinear Dynamics and Pattern Formation in the Natural Environment written by A. Van Harten and published by Taylor & Francis. This book was released on 2022-09-16 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations. The complexity of the original problem can be reduced drastically by this approximation. Moreover, it provides unifying point of view for a wide range of problems. New applications of the theory arise in a multitude of scientific areas such as hydrodynamics, reaction-diffusion problems, oceanography, meteorology, combustion, geophysical and biological morphodynamics and semi-conductors.This book is intended to show the interactions between the mathematical theory of nonlinear dynamics and the study of pattern generating phenomena in the natural environment. There is an intimate relationship between new insights in the mathematical aspects of nonlinear pattern formation and the comprehension of such phenomena. Therefore there are two partly overlapping main themes: one in which the emphasis is on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in various areas is discussed.The book comprises 19 contributions by experts in the field. Although the emphasis changes considerably from paper to paper, in each contribution the same two themes are present; all the authors have aimed to achieve a suitable balance between the mathematical theory and the physical phenomena.

Pattern Formation

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Publisher : Cambridge University Press
ISBN 13 : 9780521817509
Total Pages : 440 pages
Book Rating : 4.8/5 (175 download)

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Book Synopsis Pattern Formation by : Rebecca B. Hoyle

Download or read book Pattern Formation written by Rebecca B. Hoyle and published by Cambridge University Press. This book was released on 2006-03-17 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully illustrated mathematical guide to pattern formation. Includes instructive exercises and examples.

Pattern Formations and Oscillatory Phenomena

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Publisher : Elsevier Inc. Chapters
ISBN 13 : 0128061561
Total Pages : 75 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Pattern Formations and Oscillatory Phenomena by : Shuichi Kinoshita

Download or read book Pattern Formations and Oscillatory Phenomena written by Shuichi Kinoshita and published by Elsevier Inc. Chapters. This book was released on 2013-05-09 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present examples of familiar phenomena found in nonequilibrium systems, including oscillatory phenomena, order-formation processes, and pattern formation. In particular, we introduce commonly used mathematical methods to analyze their characteristics. First, we present oscillations described by the Lotka–Volterra and van der Pol equations, the Brusselator, the Oregonator, and relaxation oscillations as examples of oscillatory phenomena. Second, we investigate the order-formation process in colloidal crystals and present an experimental observation of 2D array formation. Third, we demonstrate pattern formation in crystals on the basis of the Mullins–Sekerka instability, and in chemical and biological systems on the basis of the Turing instability. In particular, we describe the optical properties and development of sophisticated structural patterns that directly interact with light. Finally, we briefly describe a theoretical phase-transition analogy that might clarify the concept of order formation in nonequilibrium systems.

Collective Dynamics of Nonlinear and Disordered Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540268693
Total Pages : 377 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Collective Dynamics of Nonlinear and Disordered Systems by : Günter Radons

Download or read book Collective Dynamics of Nonlinear and Disordered Systems written by Günter Radons and published by Springer Science & Business Media. This book was released on 2005-11-02 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

Spatio-temporal Patterns In Nonequilibrium Complex Systems

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Author :
Publisher : Westview Press
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Spatio-temporal Patterns In Nonequilibrium Complex Systems by : Patricia E. Cladis

Download or read book Spatio-temporal Patterns In Nonequilibrium Complex Systems written by Patricia E. Cladis and published by Westview Press. This book was released on 1995-01-20 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the NATO Advanced Research Workshop, upon which this book is based, was to bring together experimentalists and theorists from many different fields, ranging from applied mathematics to materials science, but unified by their intrigue with nonlinear phenomena, in search of a deeper understanding of patterns in complex systems. To meet this goal, the participants made the effort to build bridges across canonical disciplinary boundaries by sharing what they thought was significant and relevant in search of the “truly significant simplicity of the basic laws of nature embedded in the amazing complexity of natural phenomena.” Spatio-Temporal Patterns in Nonequilibrium Complex Systems is one of the most exciting and fastest-growing branches of physics that impacts fields as diverse as new technologies and processes, economics and biology. Virtually every structure in our world, including ourselves, can be considered the result of a long sequence of successive symmetry-breaking instabilities due to nonlinear processes under nonequilibrium conditions of a complex system. While a scientific description of the spontaneous appearance of patterns in nature was first made by Johannes Kepler (1611), it has only been during the past twenty years that pattern formation, epitomized by the beautiful snowflakes that Kepler studied, has emerged as a science. Concepts and methods resulting from this dynamic new field will surely influence future developments in many disciplines.Complex systems, as studied in this book, are a good first step toward a description of the variety of phenomena included under the rubric “physics of complex systems.” Even the simplest of those presented here, liquid crystals, is still complex, but provides hints of essential ingredients needed to forge a fundamental understanding of nonequilibrium, nonlinear processes in the large. Fluid dynamics and turbulence, interface motion during solidification, autocatalytic chemical reactions, and pattern formation in biological systems play similar roles in other systems far from equilibrium.

Self-Organization in Nonequilibrium Systems

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Author :
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Self-Organization in Nonequilibrium Systems by : Gregoire Nicolis

Download or read book Self-Organization in Nonequilibrium Systems written by Gregoire Nicolis and published by Wiley-VCH. This book was released on 1977-05-13 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Membranes, Dissipative Structures, and Evolution Edited by G. Nicolis & R. Lefever Focuses on the problem of the emergence/maintenance of biological order at successively higher levels of complexity. Covers the spatiotemporal organization of simple biochemical networks; the formation of pluricellular or macromolecular assemblies; the evolution of these structures; and the functions of specific biological structures. Volume 29 in Advances in Chemical Physics Series, I. Prigogine & Stuart A. Rice, Editors. 1975 Theory and Applications of Molecular Paramagnetism Edited by E. A. Boudreaux & L. N. Mulay Comprehensively treats the basic theory of paramagnetic phenomena from both the classical and mechanical vantages. It examines the magnetic behavior of Lanthanide and Actinide elements as well as traditional transition metals. For each class of compounds, appropriate details of descriptive and mathematical theory are given before their applications. 1976 Theory and Aapplications of Molecular Diamagnetism Edited by L. N. Mulay & E. A. Boudreaux An invaluable reference for solving chemical problems in magnetics, magnetochemistry, and related areas where magnetic data are important, such as solid-state physics and optical spectroscopy. 1976

Nonlinear Dynamics and Pattern Formation in the Natural Environment

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1351428276
Total Pages : 344 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Nonlinear Dynamics and Pattern Formation in the Natural Environment by : A. Van Harten

Download or read book Nonlinear Dynamics and Pattern Formation in the Natural Environment written by A. Van Harten and published by Taylor & Francis. This book was released on 2022-09-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations. The complexity of the original problem can be reduced drastically by this approximation. Moreover, it provides unifying point of view for a wide range of problems. New applications of the theory arise in a multitude of scientific areas such as hydrodynamics, reaction-diffusion problems, oceanography, meteorology, combustion, geophysical and biological morphodynamics and semi-conductors.This book is intended to show the interactions between the mathematical theory of nonlinear dynamics and the study of pattern generating phenomena in the natural environment. There is an intimate relationship between new insights in the mathematical aspects of nonlinear pattern formation and the comprehension of such phenomena. Therefore there are two partly overlapping main themes: one in which the emphasis is on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in various areas is discussed.The book comprises 19 contributions by experts in the field. Although the emphasis changes considerably from paper to paper, in each contribution the same two themes are present; all the authors have aimed to achieve a suitable balance between the mathematical theory and the physical phenomena.