Pattern Formation In Continuous And Coupled Systems

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Pattern Formation in Continuous and Coupled Systems

Martin Golubitsky,Dan Luss,Steven H. Strogatz
Pattern Formation in Continuous and Coupled Systems Book PDF

Author : Martin Golubitsky,Dan Luss,Steven H. Strogatz
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461215585

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Pattern Formation in Continuous and Coupled Systems by Martin Golubitsky,Dan Luss,Steven H. Strogatz Pdf

This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.

Pattern Formation

Rebecca B. Hoyle
Pattern Formation Book PDF

Author : Rebecca B. Hoyle
Publisher : Cambridge University Press
Page : 440 pages
File Size : 40,6 Mb
Release : 2006-03-17
Category : Mathematics
ISBN : 0521817501

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Pattern Formation by Rebecca B. Hoyle Pdf

Fully illustrated mathematical guide to pattern formation. Includes instructive exercises and examples.

Mathematical Models for Biological Pattern Formation

Philip K. Maini,Hans G. Othmer
Mathematical Models for Biological Pattern Formation Book PDF

Author : Philip K. Maini,Hans G. Othmer
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461301332

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Mathematical Models for Biological Pattern Formation by Philip K. Maini,Hans G. Othmer Pdf

This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em phasis on "Theoretical Problems in Developmental Biology and Immunol ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro gram possible.

Evolution of Spontaneous Structures in Dissipative Continuous Systems

Friedrich H. Busse,Stefan C. Müller
Evolution of Spontaneous Structures in Dissipative Continuous Systems Book PDF

Author : Friedrich H. Busse,Stefan C. Müller
Publisher : Springer Science & Business Media
Page : 586 pages
File Size : 44,6 Mb
Release : 2003-07-01
Category : Science
ISBN : 9783540495376

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Evolution of Spontaneous Structures in Dissipative Continuous Systems by Friedrich H. Busse,Stefan C. Müller Pdf

In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.

Handbook of Dynamical Systems

B. Fiedler
Handbook of Dynamical Systems Book PDF

Author : B. Fiedler
Publisher : Gulf Professional Publishing
Page : 1099 pages
File Size : 51,8 Mb
Release : 2002-02-21
Category : Science
ISBN : 9780080532844

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Handbook of Dynamical Systems by B. Fiedler Pdf

This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Pattern Formation and Dynamics in Nonequilibrium Systems

Michael Cross,Henry Greenside
Pattern Formation and Dynamics in Nonequilibrium Systems Book PDF

Author : Michael Cross,Henry Greenside
Publisher : Cambridge University Press
Page : 547 pages
File Size : 49,7 Mb
Release : 2009-07-16
Category : Science
ISBN : 9781139480468

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Pattern Formation and Dynamics in Nonequilibrium Systems by Michael Cross,Henry Greenside Pdf

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.

The Symmetry Perspective

Martin Golubitsky,Ian Stewart
The Symmetry Perspective Book PDF

Author : Martin Golubitsky,Ian Stewart
Publisher : Birkhäuser
Page : 325 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783034881678

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The Symmetry Perspective by Martin Golubitsky,Ian Stewart Pdf

The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Pattern Formation and Dynamics in Nonequilibrium Systems

Michael Cross,Henry Greenside
Pattern Formation and Dynamics in Nonequilibrium Systems Book PDF

Author : Michael Cross,Henry Greenside
Publisher : Cambridge University Press
Page : 547 pages
File Size : 50,6 Mb
Release : 2009-07-16
Category : Mathematics
ISBN : 9780521770507

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Pattern Formation and Dynamics in Nonequilibrium Systems by Michael Cross,Henry Greenside Pdf

An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

Pattern Formation at Interfaces

Pierre Colinet,Alexander Nepomnyashchy
Pattern Formation at Interfaces Book PDF

Author : Pierre Colinet,Alexander Nepomnyashchy
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 46,8 Mb
Release : 2010-03-26
Category : Technology & Engineering
ISBN : 9783709101254

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Pattern Formation at Interfaces by Pierre Colinet,Alexander Nepomnyashchy Pdf

The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.

Surface and Interface Science, Volumes 5 and 6

Klaus Wandelt
Surface and Interface Science Volumes 5 and 6 Book PDF

Author : Klaus Wandelt
Publisher : John Wiley & Sons
Page : 1532 pages
File Size : 50,8 Mb
Release : 2016-03-14
Category : Science
ISBN : 9783527411580

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Surface and Interface Science, Volumes 5 and 6 by Klaus Wandelt Pdf

In eight volumes, Surface and Interface Science covers all fundamental aspects and offers a comprehensive overview of this research area for scientists working in the field, as well as an introduction for newcomers. Volume 5: Solid-Gas Interfaces I Topics covered: Basics of Adsorption and Desorption Surface Microcalorimetry Adsorption of Rare Gases Adsorption of Alkali and Other Electro-Positive Metals Halogen adsorption on metals Adsorption of Hydrogen Adsorption of Water Adsorption of (Small) Molecules on Metal Surfaces Surface Science Approach to Catalysis Adsorption, Bonding and Reactivity of Unsaturated and Multifunctional Molecules Volume 6: Solid-Gas Interfaces II Topics covered: Adsorption of Large Organic Molecules Chirality of Adsorbates Adsorption on Semiconductor Surfaces Adsorption on Oxide Surfaces Oscillatory Surface Reactions Statistical Surface Thermodynamics Theory of the Dynamics at Surfaces Atomic and Molecular Manipulation

Intermittency in Turbulent Flows

J. C. Vassilicos
Intermittency in Turbulent Flows Book PDF

Author : J. C. Vassilicos
Publisher : Cambridge University Press
Page : 292 pages
File Size : 49,9 Mb
Release : 2001
Category : Mathematics
ISBN : 0521792215

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Intermittency in Turbulent Flows by J. C. Vassilicos Pdf

This volume was the product of a workshop held at the Newton Institute in Cambridge, and examines turbulence, intermittency, nonlinear dynamics and fluid mechanics.

Cellular Automaton Modeling of Biological Pattern Formation

Andreas Deutsch,Sabine Dormann
Cellular Automaton Modeling of Biological Pattern Formation Book PDF

Author : Andreas Deutsch,Sabine Dormann
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 47,6 Mb
Release : 2007-12-26
Category : Science
ISBN : 9780817644154

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Cellular Automaton Modeling of Biological Pattern Formation by Andreas Deutsch,Sabine Dormann Pdf

This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.

The Dynamics of Patterns

M I Rabinovich,A B Ezersky,P D Weidman
The Dynamics of Patterns Book PDF

Author : M I Rabinovich,A B Ezersky,P D Weidman
Publisher : World Scientific
Page : 336 pages
File Size : 43,7 Mb
Release : 2000-10-31
Category : Science
ISBN : 9789814494359

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The Dynamics of Patterns by M I Rabinovich,A B Ezersky,P D Weidman Pdf

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. Contents:Patterns: Prelude to a Dynamical DescriptionLinear Stage of Pattern FormationModel EquationsThe Ginzburg–Landau Equation‘Crystal’ FormationQuasicrystalsBreaking of OrderLocalized PatternsSpiralsPatterns in Oscillating Soap FilmsPatterns in Colonies of MicroorganismsSpatial DisorderPatterns in Chaotic MediaEpilogue: Living Matter and Dynamic FormsA Short Guide to Nonlinear DynamicsKey Experiments in Pattern Formation Readership: Graduate students of mathematical physics and nonlinear science. Keywords:Quasicrystals;Disordered Patterns;Defects;Spirals;Turbulence;Synchronization;Convection;Capillary Waves;Chaotic Dynamics;Biological PatternsReviews: “This beautifully illustrated book brings together a remarkable array of pattern-forming phenomena … The authors have assembled an impressive collection of striking photographs and computer-generated images, and the book would be worth buying for this alone … the Appendix describing key experiments is a highlight. Here the authors outline the historical development of experiments in parametrically-excited patterns, thermal convection and diffusive chemical reactions.” UK Nonlinear News “This book contains a very impressive account of key ideas and results in nonlinear dynamics and an equally excellent description of important experiments in pattern formation … readers can gain quite comprehensive knowledge about all possible patterns and their mathematical theories by reading a single chapter, coupled with Appendix I.” Mathematical Reviews

Techniques for Corrosion Monitoring

Anonim
Techniques for Corrosion Monitoring Book PDF

Author : Anonim
Publisher : Elsevier
Page : 711 pages
File Size : 53,8 Mb
Release : 2008-02-01
Category : Technology & Engineering
ISBN : 9781845694050

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Techniques for Corrosion Monitoring by Anonim Pdf

Corrosion monitoring techniques play a key role in efforts to combat corrosion, which can have major economic and safety implications. This important book starts with a review of corrosion fundamentals and provides a four-part comprehensive analysis of a wide range of methods for corrosion monitoring, including practical applications and case studies. The first part of the book reviews electrochemical techniques for corrosion monitoring, such as polarization techniques, potentiometric methods, electrochemical noise and harmonic analyses, galvanic sensors, differential flow through cells and multielectrode systems. A second group of chapters analyses the physical or chemical methods of corrosion monitoring. These include gravimetric, radioactive tracer, hydrogen permeation, electrical resistance and rotating cage techniques. Part II also includes a chapter on the innovative nondestructive evaluation technologies that can be used to monitor corrosion. Part III examines corrosion monitoring in special environments such as microbial systems, concrete and soil, and remote monitoring and model predictions. A final group of chapters includes various case studies covering ways in which corrosion monitoring can be applied to engine exhaust systems, cooling water systems, pipelines, equipment in chemical plants, and other real world systems. With its distinguished editor and international team of contributors, Techniques for corrosion monitoring is a valuable reference guide for engineers and scientific and technical personnel who deal with corrosion in such areas as automotive engineering, power generation, water suppliers and the petrochemical industry. Provides a comprehensive analysis of the range of techniques for corrosion monitoring Specific case studies are included to highlight the main issues A valuable reference guide for engineers, scientific and technical personnel who deal with corrosion

Mathematical Modeling

Antonio Palacios
Mathematical Modeling Book PDF

Author : Antonio Palacios
Publisher : Springer Nature
Page : 575 pages
File Size : 41,8 Mb
Release : 2022-09-19
Category : Technology & Engineering
ISBN : 9783031047299

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Mathematical Modeling by Antonio Palacios Pdf

This book provides qualitative and quantitative methods to analyze and better understand phenomena that change in space and time. An innovative approach is to incorporate ideas and methods from dynamical systems and equivariant bifurcation theory to model, analyze and predict the behavior of mathematical models. In addition, real-life data is incorporated in the derivation of certain models. For instance, the model for a fluxgate magnetometer includes experiments in support of the model. The book is intended for interdisciplinary scientists in STEM fields, who might be interested in learning the skills to derive a mathematical representation for explaining the evolution of a real system. Overall, the book could be adapted in undergraduate- and postgraduate-level courses, with students from various STEM fields, including: mathematics, physics, engineering and biology.