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Author : Adam Scott Landsberg
Publisher :
ISBN 13 :
Total Pages : 538 pages
Book Rating : 4.:/5 (33 download)
Download or read book Waves, Bifurcations, and Pattern Formation in Dissipative Systems with Symmetry written by Adam Scott Landsberg and published by . This book was released on 1994 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerhard Dangelmayr
Publisher : World Scientific
ISBN 13 : 9812567844
Total Pages : 405 pages
Book Rating : 4.8/5 (125 download)
Download or read book Dynamics and Bifurcation of Patterns in Dissipative Systems written by Gerhard Dangelmayr and published by World Scientific. This book was released on 2004 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.
Author : L.M. Pismen
Publisher : Springer Science & Business Media
ISBN 13 : 3540304312
Total Pages : 383 pages
Book Rating : 4.5/5 (43 download)
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.
Author : Iuliana Oprea
Publisher : World Scientific
ISBN 13 : 9814482099
Total Pages : 405 pages
Book Rating : 4.8/5 (144 download)
Download or read book Dynamics And Bifurcation Of Patterns In Dissipative Systems written by Iuliana Oprea and published by World Scientific. This book was released on 2004-11-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.
Author : Philip Conway Hirschberg
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (33 download)
Download or read book Bifurcations and Symmetry in Dissipative Dynamics written by Philip Conway Hirschberg and published by . This book was released on 1994 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wayne Nagata
Publisher : American Mathematical Soc.
ISBN 13 : 0821837257
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book Bifurcation Theory and Spatio-Temporal Pattern Formation written by Wayne Nagata and published by American Mathematical Soc.. This book was released on 2006-10-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author :
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (227 download)
Download or read book Dynamics, Symmetry and PDEs written by and published by . This book was released on 1997 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns appear in physical, chemical, and biological systems and are characteristically striking and reproducible. Consequently, scientists and mathematicians have developed theories to explain the origins of these patterns. There are several approaches to the study of pattern; ours is based on symmetry and bifurcation. We have investigated both the theory and application of symmetric dynamical systems and its relation to pattern formation. In this work, pattern is identified with invariance under some of the underlying symmetries. In bounded domains, we have investigated bifurcations to spiral waves. We have also investigated chaotic dynamics where the pattern appears as symmetry on average. In a separate direction, we have considered pattern formation in unbounded domains. Our theoretical investigations have included the bifurcation and meandering of spirals and the Ginzburg-Landau theory of spatially extended systems - with application to spatially aperiodic solutions in spatially extended systems. Finally, part of our effort has been devoted to studying the dynamics present in (ordinary) differential equations with symmetry. For example, we have studied stable ergodicity of chaotic attractors in problems with continuous symmetry, and the existence, stability and bifurcations of robust heteroclinic cycles. Some of these ideas are relevant to intermittent magnetic dynamos in rotating Rayleigh-Benard convection.
Author : L. E. Reichl
Publisher : University of Texas Press
ISBN 13 : 029274157X
Total Pages : 440 pages
Book Rating : 4.2/5 (927 download)
Download or read book Instabilities, Bifurcations, and Fluctuations in Chemical Systems written by L. E. Reichl and published by University of Texas Press. This book was released on 1982-09-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twentieth-century research in the field of chemical pattern formation saw extraordinary progress due to the pathbreaking contributions of Nobel laureate Ilya Prigogine and his co-workers. Evidence exists that the dissipative structures studied by Prigogine and his colleagues may play a dominant role in the processes of self-organization of biological systems, the fundamental phenomena that govern all life forms. Brought together in this valuable volume are topical papers from the this research. Important aspects of nonlinear chemical pattern formation—dissipative structures—in chemical, biochemical, and geological systems are surveyed by leading scientists in the field of nonlinear chemistry. Topics covered include experimental observations of pattern formation in a variety of systems, bifurcation theory and analysis of nonlinear chemical rate equations, and the stochastic theory of nonlinear chemical reactions. Of particular interest are the studies of the effects of electric fields on the determination of nonequilibrium states of chemical systems.
Author : Len Pismen
Publisher : Springer Nature
ISBN 13 : 303129579X
Total Pages : 402 pages
Book Rating : 4.0/5 (312 download)
Download or read book Patterns and Interfaces in Dissipative Dynamics written by Len Pismen and published by Springer Nature. This book was released on 2023-06-12 with total page 402 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.
Author : Martin Golubitsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461215587
Total Pages : 324 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Guenter Ahlers
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (316 download)
Download or read book Bifurcations and Patterns in Nonlinear Dissipative Systems written by Guenter Ahlers and published by . This book was released on 2005 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This project consists of experimental investigations of heat transport, pattern formation, and bifurcation phenomena in non-linear non-equilibrium fluid-mechanical systems. These issues are studies in Rayleigh-B\'enard convection, using both pure and multicomponent fluids. They are of fundamental scientific interest, but also play an important role in engineering, materials science, ecology, meteorology, geophysics, and astrophysics. For instance, various forms of convection are important in such diverse phenomena as crystal growth from a melt with or without impurities, energy production in solar ponds, flow in the earth's mantle and outer core, geo-thermal stratifications, and various oceanographic and atmospheric phenomena. Our work utilizes computer-enhanced shadowgraph imaging of flow patterns, sophisticated digital image analysis, and high-resolution heat transport measurements.
Author :
Publisher :
ISBN 13 : 9781470429737
Total Pages : pages
Book Rating : 4.4/5 (297 download)
Download or read book Pattern Formation written by and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two related workshops held at The Fields Institute in February and March 1993. The workshops were an integral part of the thematic year in Dynamical Systems and Bifurcation Theory held during the 1992-1993 academic year. This volume covers the full spectrum of research involved in combining symmetry methods with dynamical systems and bifurcation theory, from the development of the mathematical theory in order to understand the underlying mechanisms to the application of this new mathematical theory, to partial differential equation models of realistic ph.
Author : Martin Golubitsky
Publisher : Birkhäuser
ISBN 13 : 3034881673
Total Pages : 338 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Symmetry Perspective written by Martin Golubitsky and published by Birkhäuser. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : John M. Chadam
Publisher : American Mathematical Soc.
ISBN 13 : 0821802569
Total Pages : 369 pages
Book Rating : 4.8/5 (218 download)
Download or read book Pattern Formation: Symmetry Methods and Applications written by John M. Chadam and published by American Mathematical Soc.. This book was released on 1996 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two related workshops held at The Fields Institute in February and March 1993. The workshops were an integral part of the thematic year in Dynamical Systems and Bifurcation Theory held during the 1992-1993 academic year. This volume covers the full spectrum of research involved in combining symmetry methods with dynamical systems and bifurcation theory, from the development of the mathematical theory in order to understand the underlying mechanisms to the application of this new mathematical theory, to partial differential equation models of realistic ph.
Author : Michael Cross
Publisher : Cambridge University Press
ISBN 13 : 0521770505
Total Pages : 547 pages
Book Rating : 4.5/5 (217 download)
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.
Author : S Kai
Publisher : World Scientific
ISBN 13 : 9814555339
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)
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.
Author : Hannes Uecker
Publisher : SIAM
ISBN 13 : 1611976618
Total Pages : 380 pages
Book Rating : 4.6/5 (119 download)
Download or read book Numerical Continuation and Bifurcation in Nonlinear PDEs written by Hannes Uecker and published by SIAM. This book was released on 2021-08-19 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D, and 3D. Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with parameters, and the study of the parameter dependence of their solutions is an important task. Letting one parameter vary typically yields a branch of solutions, and at special parameter values, new branches may bifurcate. After a concise review of some analytical background and numerical methods, the author explains the free MATLAB package pde2path by using a large variety of examples with demo codes that can be easily adapted to the reader's given problem. Numerical Continuation and Bifurcation in Nonlinear PDEs will appeal to applied mathematicians and scientists from physics, chemistry, biology, and economics interested in the numerical solution of nonlinear PDEs, particularly the parameter dependence of solutions. It can be used as a supplemental text in courses on nonlinear PDEs and modeling and bifurcation.
