Global Bifurcation Of Periodic Solutions With Symmetry PDF Download
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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 | : 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 | : Timothy J. Healey |
Publisher | : |
Total Pages | : 56 |
Release | : 1989 |
Genre | : Bifurcation theory |
ISBN | : |
Download Symmetry and Nodal Properties in Global Bifurcation Analysis of Quasi-linear Elliptic Equations Book in PDF, ePub and Kindle
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 | : 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 | : Bernold Fiedler |
Publisher | : World Scientific |
Total Pages | : 846 |
Release | : 2000 |
Genre | : Differential equations |
ISBN | : 9789810249885 |
Download International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 Book in PDF, ePub and Kindle
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences
Author | : A. Vanderbauwhede |
Publisher | : |
Total Pages | : 368 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : |
Download Local Bifurcation and Symmetry Book in PDF, ePub and Kindle
Author | : David H. Sattinger |
Publisher | : SIAM |
Total Pages | : 80 |
Release | : 1983-01-01 |
Genre | : Mathematics |
ISBN | : 9781611970296 |
Download Branching in the Presence of Symmetry Book in PDF, ePub and Kindle
A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field.
Author | : Zhen Mei |
Publisher | : Springer Science & Business Media |
Total Pages | : 422 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662041774 |
Download Numerical Bifurcation Analysis for Reaction-Diffusion Equations Book in PDF, ePub and Kindle
This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Author | : Z. Deng |
Publisher | : CRC Press |
Total Pages | : 543 |
Release | : 2020-11-25 |
Genre | : Mathematics |
ISBN | : 1000105326 |
Download Differential Equations and Control Theory Book in PDF, ePub and Kindle
This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.