Bifurcation And Symmetry PDF Download
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| Author | : Jorge Buescu |
| Publisher | : Birkhäuser |
| Total Pages | : 215 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034879822 |
Download Bifurcation, Symmetry and Patterns Book in PDF, ePub and Kindle
The latest developments on both the theory and applications of bifurcations with symmetry. The text includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.
| Author | : Bernold Fiedler |
| Publisher | : Springer |
| Total Pages | : 151 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540391509 |
Download Global Bifurcation of Periodic Solutions with Symmetry Book in PDF, ePub and Kindle
This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience.
| Author | : BÖHMER |
| Publisher | : Birkhäuser |
| Total Pages | : 323 |
| Release | : 2013-03-08 |
| Genre | : Science |
| ISBN | : 3034875363 |
Download Bifurcation and Symmetry Book in PDF, ePub and Kindle
Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In many cases, these models are also nonlinear and it is the study of nonlinear symmetric models that has been the basis of much recent work. Although systematic studies of nonlinear problems may be traced back at least to the pioneering contributions of Poincare, this remains an area with challenging problems for mathematicians and scientists. Phenomena whose models exhibit both symmetry and nonlinearity lead to problems which are challenging and rich in complexity, beauty and utility. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry. By these means, highly complex situations may be decomposed into a number of simpler ones which are already understood or are at least easier to handle. In the realm of numerical approximations, the systematic exploitation of symmetry via group repre sentation theory is even more recent. In the hope of stimulating interaction and acquaintance with results and problems in the various fields of applications, bifurcation theory and numerical analysis, we organized the conference and workshop Bifurcation and Symmetry: Cross Influences between Mathematics and Applications during June 2-7,8-14, 1991 at the Philipps University of Marburg, Germany.
| Author | : Martin Golubitsky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 480 |
| Release | : 2013-11-27 |
| Genre | : Mathematics |
| ISBN | : 146125034X |
Download Singularities and Groups in Bifurcation Theory Book in PDF, ePub and Kindle
This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.
| Author | : Michael J. Field |
| Publisher | : CRC Press |
| Total Pages | : 168 |
| Release | : 2020-02-17 |
| Genre | : Mathematics |
| ISBN | : 1000657752 |
Download Lectures on Bifurcations, Dynamics and Symmetry Book in PDF, ePub and Kindle
This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.
| Author | : Eugene L. Allgower |
| Publisher | : Birkhauser |
| Total Pages | : 327 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9780817627393 |
Download Bifurcation and Symmetry Book in PDF, ePub and Kindle
| Author | : Pascal Chossat |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 355 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401109567 |
Download Dynamics, Bifurcation and Symmetry Book in PDF, ePub and Kindle
This book collects contributions to the conference" Dynamics, Bifurcation and Symmetry, new trends and new tools", which was held at the Institut d'Etudes Sci entifiques de Cargese (France), September 3-9, 1993. The first aim of this conference was to gather and summarize the work of the European Bifurcation Theory Group after two years of existence (the EBTG links european laboratories in five countries via an EC grant). Thanks to a NATO ARW grant, the conference developed into an international meeting on bifurcation theory and dynamical systems, with the partic ipation of leading specialists not only from Europe but also from overseas countries (Canada, USA, South America). It was a great satisfaction to notice the active, and quite enthusiastic participation of many young scientists. This is reflected in the present book for which many contributors are PhD students or post-doc researchers. Although several "big" themes (bifurcation with symmetry, low dimensional dynam ics, dynamics in EDP's, applications, . . . ) are present in these proceedings, we have divided the book into corresponding parts. In fact these themes overlap in most contributions, which seems to reflect a general tendancy in nonlinear science. I am very pleased to thank for their support the NATO International Exchange Scientific Program as well as the EEC Science Program, which made possible the suc cess of this conference.
| Author | : Michael J. Field |
| Publisher | : CRC Press |
| Total Pages | : 172 |
| Release | : 2020-02-17 |
| Genre | : Mathematics |
| ISBN | : 1000673472 |
Download Lectures on Bifurcations, Dynamics and Symmetry Book in PDF, ePub and Kindle
This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.
| Author | : Martin Golubitsky |
| Publisher | : Birkhäuser |
| Total Pages | : 338 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3034881673 |
Download The Symmetry Perspective Book in PDF, ePub and Kindle
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 | : Shangjiang Guo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 295 |
| Release | : 2013-07-30 |
| Genre | : Mathematics |
| ISBN | : 1461469929 |
Download Bifurcation Theory of Functional Differential Equations Book in PDF, ePub and Kindle
This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
