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New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Author : Pierre Coullet
Publisher : Springer
ISBN 13 : 9781468474817
Total Pages : 368 pages
Book Rating : 4.4/5 (748 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 2012-05-18 with total page 368 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.

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Author : Pierre Coullet
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.

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Author : Pierre Coullet
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.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 981122191X
Total Pages : 561 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Recent Trends In Chaotic, Nonlinear And Complex Dynamics by : Jan Awrejcewicz

Download or read book Recent Trends In Chaotic, Nonlinear And Complex Dynamics written by Jan Awrejcewicz and published by World Scientific. This book was released on 2021-07-26 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.

Spatio-Temporal Pattern Formation

Author : Daniel Walgraef
Publisher : Springer Science & Business Media
ISBN 13 : 1461218500
Total Pages : 310 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Spatio-Temporal Pattern Formation by : Daniel Walgraef

Download or read book Spatio-Temporal Pattern Formation written by Daniel Walgraef and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.

Pattern Formation in Continuous and Coupled Systems

Author : Martin Golubitsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461215587
Total Pages : 324 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Pattern Formation in Continuous and Coupled Systems by : Martin Golubitsky

Download or read book Pattern Formation in Continuous and Coupled Systems written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Author : F.H. Busse
Publisher : Springer Science & Business Media
ISBN 13 : 1468457934
Total Pages : 552 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems by : F.H. Busse

Download or read book Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems written by F.H. Busse and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.

Information Dynamics

Author : Harald Atmanspacher
Publisher : Springer Science & Business Media
ISBN 13 : 1489923055
Total Pages : 362 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Information Dynamics by : Harald Atmanspacher

Download or read book Information Dynamics written by Harald Atmanspacher and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ASI held in Irsee/Kaufbeuren, Germany, June 15--26, 1990

Future Directions of Nonlinear Dynamics in Physical and Biological Systems

Author : P.L. Christiansen
Publisher : Springer Science & Business Media
ISBN 13 : 1489916091
Total Pages : 549 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Future Directions of Nonlinear Dynamics in Physical and Biological Systems by : P.L. Christiansen

Download or read book Future Directions of Nonlinear Dynamics in Physical and Biological Systems written by P.L. Christiansen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 11992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) of the Technical University of Denmark. During the meeting about 50 lectures and 100 posters were presented in 9 working days. The contributions to this present volume have been grouped into the following chapters: 1. Integrability, Solitons, and Coherent Structures 2. Nonlinear Evolution Equations and Diffusive Systems 3. Chaotic and Stochastic Dynamics 4. Classical and Quantum Lattices and Fields 5. Superconductivity and Superconducting Devices 6. Nonlinear Optics 7. Davydov Solitons and Biomolecular Dynamics 8. Biological Systems and Neurophysics. AI Scott has made early and fundamental contributions to many of these different areas of nonlinear science. They form an important subset of the total number of the papers and posters presented at the meeting. Other papers from the meeting are being published in a special issue of Physica D Nonlinear Phenomena.

Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions

Author : S Kai
Publisher : World Scientific
ISBN 13 : 9814555339
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions by : S Kai

Download or read book Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions written by S Kai and published by World Scientific. This book was released on 1992-09-15 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.

Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference

Author : Rozmus W
Publisher : #N/A
ISBN 13 : 9814569798
Total Pages : 640 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference by : Rozmus W

Download or read book Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference written by Rozmus W and published by #N/A. This book was released on 1991-07-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modelling the Dynamics of Biological Systems

Author : Erik Mosekilde
Publisher : Springer Science & Business Media
ISBN 13 : 3642792901
Total Pages : 300 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Modelling the Dynamics of Biological Systems by : Erik Mosekilde

Download or read book Modelling the Dynamics of Biological Systems written by Erik Mosekilde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.

Pattern Formation in Liquid Crystals

Author : Agnes Buka
Publisher : Springer Science & Business Media
ISBN 13 : 146123994X
Total Pages : 344 pages
Book Rating : 4.4/5 (612 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 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 20 years the study of nonlinear nonequilibrium phenomena in spa tially extended systems, with particular emphasis on pattern-forming phenomena, has been one of the very active areas in physics, exhibiting interesting ramifi cations into other sciences. During this time the study of the "classic" systems, like Rayleigh-Benard convection and Taylor vortex flow in simple fluids, has also been supplemented by the study of more complex systems. Here liquid crystals have played, and are still playing, a major role. One might say that liquid crystals provide just the right amount and right kind of complexity. They are full of non linearities and give rise to new symmetry classes, which are sometimes actually simpler to deal with qualitatively, but they still allow a quantitative description of experiments in many cases. In fact one of the attractions of the field is the close contact between experimentalists and theorists. Hydrodynamic instabilities in liquid crystals had already experienced a period of intense study in the late 1960s and early 1970s, but at that time neither the ex perimental and theoretical tools nor the concepts had been developed sufficiently far to address the questions that have since been found to be of particular interest. The renewed interest is also evidenced by the fact that a new series of workshops has evolved. The first one took place in 1989 in Bayreuth and united participants from almost all groups working in pattern formation in liquid crystals.

Evolution of Spontaneous Structures in Dissipative Continuous Systems

Author : Friedrich H. Busse
Publisher : Springer Science & Business Media
ISBN 13 : 3540495371
Total Pages : 586 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Evolution of Spontaneous Structures in Dissipative Continuous Systems by : Friedrich H. Busse

Download or read book Evolution of Spontaneous Structures in Dissipative Continuous Systems written by Friedrich H. Busse and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bibliography on Chaos

Author :
Publisher : World Scientific
ISBN 13 : 9814506362
Total Pages : 524 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Bibliography on Chaos by :

Download or read book Bibliography on Chaos written by and published by World Scientific. This book was released on 1991-08-22 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics. Emphasis has been made on recent publications, but many publications which appeared before 1980 are also included. Many titles have been checked with the authors. The scope of the Bibliography is not restricted to physics and mathematics of chaos only. Applications of chaotic dynamics to other branches of natural and social sciences are also considered. Works related to chaotic dynamics, e.g., papers on turbulence dynamical systems theory and fractal geometry, are listed at the discretion of the author or the compiler. This Bibliography is expected to be an important reference book for libraries and individual researchers. Contents:Books:1980 and Before1981–1990Papers Readership: Postgraduates in chaos, physics, engineering, mathematics, social science and life sciences. keywords:

Nonlinear Wave Processes in Excitable Media

Author : Arunn V. Holden
Publisher : Springer
ISBN 13 : 1489936831
Total Pages : 511 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Nonlinear Wave Processes in Excitable Media by : Arunn V. Holden

Download or read book Nonlinear Wave Processes in Excitable Media written by Arunn V. Holden and published by Springer. This book was released on 2013-12-21 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989

Patterns and Dynamics in Reactive Media

Author : Rutherford Aris
Publisher : Springer Science & Business Media
ISBN 13 : 1461232066
Total Pages : 211 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Patterns and Dynamics in Reactive Media by : Rutherford Aris

Download or read book Patterns and Dynamics in Reactive Media written by Rutherford Aris and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field.