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Titlebook: Numerical Continuation Methods for Dynamical Systems; Path following and b Bernd Krauskopf,Hinke M. Osinga,Jorge Galán-Vioque Book 2007 Spr

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書目名稱Numerical Continuation Methods for Dynamical Systems
副標(biāo)題Path following and b
編輯Bernd Krauskopf,Hinke M. Osinga,Jorge Galán-Vioque
視頻videohttp://file.papertrans.cn/669/668978/668978.mp4
概述An overview of the influence of an important tool for bifurcation analysis.Providing this material, so far spread over a large body of research literature in different fields, in one single source.Als
叢書名稱Understanding Complex Systems
圖書封面Titlebook: Numerical Continuation Methods for Dynamical Systems; Path following and b Bernd Krauskopf,Hinke M. Osinga,Jorge Galán-Vioque Book 2007 Spr
描述.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-dime
出版日期Book 2007
關(guān)鍵詞Canopus; PDE continuation; SQUIDs and coupled pendula; bifurcation analysis; calculus; delay differential
版次1
doihttps://doi.org/10.1007/978-1-4020-6356-5
isbn_softcover978-94-007-9702-4
isbn_ebook978-1-4020-6356-5Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer Science+Business Media B.V. 2007
The information of publication is updating

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Periodic Orbit Continuation in Multiple Time Scale Systems,he standard implementation of these procedures. Unfortunately, the collocation methods used in Auto often require very fine meshes for convergence on problems with multiple time scales. This inconvenience prompts the search for alternative methods for computing such periodic orbits; we introduce her
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Phase Conditions, Symmetries and PDE Continuation,ve continuous symmetries. Our main topic is the general approach known as the freezing method, which was developed in [33] and [7]. It will be presented in an abstract framework for evolution equations that are equivariant with respect to the action of a (not necessarily compact) Lie group. Specific
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Numerical Computation of Coherent Structures,ive to simulation. Moreover, setting up well-posed boundary value problems allows us to continue solutions in parameter space, investigate their spectral stability directly, and continue branches of solutions efficiently as parameters vary..In the next section we outline how PDEs can be supplemented
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