Bifurcation Theory and Spatio-Temporal Pattern Formation

Bifurcation Theory and Spatio-Temporal Pattern Formation
Author: Wayne Nagata
Publisher: American Mathematical Soc.
Total Pages: 186
Release: 2006-10-03
Genre: Mathematics
ISBN: 0821837257

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Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert's 16th problem. Most of the book consists of expository survey material, and so can serve as a source of convenient entry points to current research topics in nonlinear dynamics and pattern formation. This volume arose from a workshop held at the Fields Institute in December of 2003, honoring Professor William F. Langford's fundamental work on the occasion of his sixtieth birthday. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Pattern Formation in Continuous and Coupled Systems

Pattern Formation in Continuous and Coupled Systems
Author: Martin Golubitsky
Publisher: Springer Science & Business Media
Total Pages: 324
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461215587

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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.

Surface and Interface Science, Volumes 5 and 6

Surface and Interface Science, Volumes 5 and 6
Author: Klaus Wandelt
Publisher: John Wiley & Sons
Total Pages: 1532
Release: 2016-03-14
Genre: Science
ISBN: 3527411585

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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

Nonlinear Wave Processes in Excitable Media

Nonlinear Wave Processes in Excitable Media
Author: Arunn V. Holden
Publisher: Springer
Total Pages: 511
Release: 2013-12-21
Genre: Science
ISBN: 1489936831

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Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989

Chemical, Structural and Electronic Analysis of Heterogeneous Surfaces on Nanometer Scale

Chemical, Structural and Electronic Analysis of Heterogeneous Surfaces on Nanometer Scale
Author: R. Rosei
Publisher: Springer Science & Business Media
Total Pages: 138
Release: 2012-12-06
Genre: Science
ISBN: 9401157243

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An assessment of the recent achievements and relative strengths of two developing techniques for characterising surfaces at the nanometer scale: (i) local probe methods, including scanning tunnelling microscopy and its derivatives; and (ii) nanoscale photoemission and absorption spectroscopy for chemical analysis. The keynote lectures were delivered by some of the world's best scientists in the field and some of the topics covered include: (1) The possible application of STM in atomically resolved chemical analysis. (2) The principles of scanning force/friction and scanning near-field optical microscopes. (3) The scanning photoemission electron microscopes built at ELETTRA and SRRC, with a description of synchrotron radiation microscopy. (4) Recent progress in the development of spatially-resolved photoelectron microscopy, especially the use of zone plate photon optics. (5) The present status of non-scanning photoemission microscopy with slow electrons. (6) the BESSY 2 project for a non-scanning photoelectron microscope with electron optics. (7) Spatially-resolved in situ reaction studies of chemical waves and oscillatory phenomena with the UV photoemission microscope.

Surface and Interface Science, Volumes 7 and 8

Surface and Interface Science, Volumes 7 and 8
Author: Klaus Wandelt
Publisher: John Wiley & Sons
Total Pages: 1002
Release: 2020-03-30
Genre: Science
ISBN: 3527411593

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In ten volumes, this unique handbook covers all fundamental aspects of surface and interface science and offers a comprehensive overview of this research area for scientists working in the field, as well as an introduction for newcomers. Volume 1: Concepts and Methods Volume 2: Properties of Elemental Surfaces Volume 3: Properties of Composite Surfaces: Alloys, Compounds, Semiconductors Volume 4: Solid-Solid Interfaces and Thin Films Volume 5: Solid-Gas Interfaces I Volume 6: Solid-Gas Interfaces II Volume 7: Liquid and Biological Interfaces Volume 8: Interfacial Electrochemistry Volume 9: Applications of Surface Science I Volume 10: Applications of Surface Science II Content of Volumes 7 & 8: * Probing Liquid/Solid Interfaces at the Molecular Level * Structure and Dynamics of Liquid-Solid Interfaces * Adsorption of Biomolecules * Liquid Surfaces * Surfaces of Ionic Liquids * Superhydrophobicity * Cell Penetrating Peptides Targeting and Distorting Biological Membranes * Theory of Solid/Electrolyte Interfaces * Metal/Electrolyte Interfaces: An Atomic View * X-Ray Spectroscopy at Electro-Catalytic Interfaces * Fundamental Aspects of Electro-Catalysis * Non-Linear Processes at Solid/Liquid Interfaces

Mathematics of Multiscale Materials

Mathematics of Multiscale Materials
Author: Kenneth M. Golden
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461217288

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The 1995-1996 program at the Institute for Mathematics and its Applications was devoted to mathematical methods in material science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. This volume contains chapters which emerged from four of the workshops, focusing on disordered materials; interfaces and thin films; mechanical response of materials from angstroms to meters; and phase transformation, composite materials and microstructure. The scales treated in these workshops ranged from the atomic to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to highly applied. Taken together, these results form a compelling and broad account of many aspects of the science of multi-scale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science.

Electrochemical Activation of Catalysis

Electrochemical Activation of Catalysis
Author: Costas G. Vayenas
Publisher: Springer Science & Business Media
Total Pages: 597
Release: 2001
Genre: Science
ISBN: 0306467194

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This book describes the phenomenology, theory and potential applications of the phenomenon of electrochemical promotion, where electrochemically induced ion spillover activates and controls heterogeneous catalysis. The origin of electrochemical promotion is discussed in light of a plethora of surface spectroscopic and electrochemical techniques. Electrochemical and classical promotion are compared, their common rules are identified and promotional kinetics are rigorously modeled and compared with experiment.

An Exploration of Dynamical Systems and Chaos

An Exploration of Dynamical Systems and Chaos
Author: John H. Argyris
Publisher: Springer
Total Pages: 884
Release: 2015-04-24
Genre: Technology & Engineering
ISBN: 3662460424

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This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany