Continuation Techniques And Bifurcation Problems
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Continuation Techniques And Bifurcation Problems
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Author : MITTELMANN
language : en
Publisher: Birkhäuser
Release Date : 2014-10-05
Continuation Techniques And Bifurcation Problems written by MITTELMANN and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-05 with Science categories.
The analysis of parameter-dependent nonlinear has received much attention in recent years. Numerical continuation techniques allow the efficient computation of solution branches in a one-parameter problem. In many cases continuation procedures are used as part of a more complete analysis of a nonlinear problem, based on bifurcation theory and singularity theory. These theories contribute to the understanding of many nonlinear phenomena in nature and they form the basis for various analytical and numerical tools, which provide qualitative and quantitative results about nonlinear systems. In this issue we have collected a number of papers dealing with continuation techniques and bifurcation problems. Readers familiar with the notions of continuation and bifurcation will find recent research results addressing a variety of aspects in this issue. Those who intend to learn about the field or a specific topic in it may find it useful to first consult earlier literature on the numerical treatment of these problems together with some theoretical background. The papers in this issue fall naturally into different groups.
Continuation Techniques And Bifurcation Problems
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Author : H. D. Mittelmann
language : en
Publisher: Birkhauser
Release Date : 1990
Continuation Techniques And Bifurcation Problems written by H. D. Mittelmann and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Numerical Continuation Methods For Dynamical Systems
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Author : Bernd Krauskopf
language : en
Publisher: Springer
Release Date : 2007-11-06
Numerical Continuation Methods For Dynamical Systems written by Bernd Krauskopf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-06 with Science categories.
Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.
Continuation And Bifurcations Numerical Techniques And Applications
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Author : Dirk Roose
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Continuation And Bifurcations Numerical Techniques And Applications written by Dirk Roose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989
Introduction To Numerical Continuation Methods
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Author : Eugene L. Allgower
language : en
Publisher: SIAM
Release Date : 2003-01-01
Introduction To Numerical Continuation Methods written by Eugene L. Allgower and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. Introduction to Numerical Continuation Methods also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals.
Special Issue On Continuation Techniques And Bifurcation Problems
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Author : Hans Detlef Mittelmann
language : en
Publisher:
Release Date : 1989
Special Issue On Continuation Techniques And Bifurcation Problems written by Hans Detlef Mittelmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Bifurcation theory categories.
Special Issue On Continuation Techniques And Bifurcation Problems
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Author :
language : en
Publisher:
Release Date : 1989
Special Issue On Continuation Techniques And Bifurcation Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Numerical Continuation Methods For Non Linear Equations And Bifurcation Problems
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Author : James P. Abbott
language : en
Publisher:
Release Date : 1977
Numerical Continuation Methods For Non Linear Equations And Bifurcation Problems written by James P. Abbott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Equations categories.
Numerical Methods For Bifurcation Problems
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Author : KÜPPER
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-27
Numerical Methods For Bifurcation Problems written by KÜPPER and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.
Continuation And Multi Grid Methods For Bifurcation Problems
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Author :
language : en
Publisher:
Release Date : 1990
Continuation And Multi Grid Methods For Bifurcation Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
In the following we give an overview of the work completed under the grant AFOSR-84-0315 entitled 'Continuation and Multi-grid Methods for Bifurcation Problems' since October 1, 1984. The research under that grant concerns the numerical solution of bifurcation and nonlinear eigenvalue problems for parameter-dependent partial differential equations and systems. The scope of the research is rather wide, stressing the development, study and implementation of computational methods for several classes of difficult nonlinear problems, but, also including the derivation of analytic results in cases where these questions had not been settled before. The work under the grant has resulted in 26 papers in refereed journals or refereed proceedings volumes of major conferences; they are listed at the end of this section. (jg).