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Singularities and groups in bifurcation theory, Golubitsky, Schaffer,
Singularities and groups in bifurcation theory

Автор: Golubitsky, Schaffer,
Название:  Singularities and groups in bifurcation theory   (Особенности и группы в теории раздвоения)
Издательство: Springer
Классификация:
Алгебра
Дифферунциально и интегральное исчисление и математический анализ

ISBN: 0387966528
ISBN-13(EAN): 9780387966526
ISBN: 0-387-96652-8
ISBN-13(EAN): 978-0-387-96652-6
Обложка/Формат: Hardback
Страницы: 549
Вес: 0.99 кг.
Дата издания: 01.10.2000
Серия: Applied mathematical sciences
Язык: ENG
Издание: 1st ed. 1988. 2nd pr
Иллюстрации: 96 black & white illustrations, 73 black & white tables
Размер: 24.28 x 16.38 x 3.00 cm
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: Preface.- Contents of Vol. I.- Introduction.- Group Theoretic Preliminaries.- Symmetry-Breaking in Steady-State Bifurcation.- Case Study 4: The Planar BГ©nard Problem.- Equivariant Normal Forms.- Equivariant Unfolding Theory.- Case Study 5: The Traction Problem for Mooney-Rivlin Material.- Symmetry-Breaking in Hopf Bifurcation.- Hopf Bifurcation with 0(2) Symmetry.- Further Examples of Hopf Bifurcation with Symmetry.- Mode Interactions.- Mode Interactions with 0(2) Symmetry.- Case Study 6: The Taylor-Couette System.- Bibliography.- Index.
Описание: Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions.
Описание: Applied Mathematical Sciences #69.In this volume we focus on bifurcation problems with symmetry and show how group-theoretic techniques aid the understanding of transitions in symmetric systems.
Дополнительное описание: Илюстрации: 96
Круг читателей: Researchers
Язык: eng
Издание: 1st ed. 1988. 2nd printin
Оглавление: Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.


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Elements of Applied Bifurcation Theory

Автор: Kuznetsov Yuri A.
Название: Elements of Applied Bifurcation Theory
ISBN: 0387219064 ISBN-13(EAN): 9780387219066
Издательство: Springer
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Цена: 10009 р.
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Описание: Explains the basic phenomena of bifurcation theory. This book provides a student or researcher with the basis in nonlinear dynamical systems and their bifurcations, giving them the necessary understanding of the approaches, methods, results and terminology used in the modern applied mathematics literature.

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Crack Theory and Edge Singularities

Автор: Kapanadze D., Schulze B.W.
Название: Crack Theory and Edge Singularities
ISBN: 1402015240 ISBN-13(EAN): 9781402015243
Издательство: Springer
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Цена: 10009 р.
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Описание: The book studies boundary value problems connected with geometric singularities and models of the crack theory. New and interesting phenomena on the behaviour of solutions (regularity in weighted spaces, asymptotics) are analysed by means of parametrices obtained by inverting corresponding scalar and operator-valued symbols. Compared with other expositions in the field of crack theory and analysis on configurations with singularities the present book systematically develops for the first time an approach in terms of algebras of (pseudo-differential) boundary value problems. The calculus is decomposed into a number of simpler structures, namely boundary value problems (Chapter 1) and edge problems near the crack boundary (Chapter 4). Necessary tools on parameter-dependent cone operators (Chapter 2) and operators on spaces with conical exits to infinity (Chapter 3) are developed as theories of independent interest. The crack theory (Chapter 5) then appears as an application of the edge calculus. The book is addressed to mathematicians and physicists interested in boundary value problems, geometric singularities, asymptotic analysis, as well as to specialists in the field of crack theory and other singular models.

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Global Bifurcation Theory and Hilbert`s Sixteenth Problem

Автор: Gaiko V.
Название: Global Bifurcation Theory and Hilbert`s Sixteenth Problem
ISBN: 1402075715 ISBN-13(EAN): 9781402075711
Издательство: Springer
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Цена: 7314 р.
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Описание: This volume is devoted to the qualitative investigation of two-dimensional polynomial dynamical systems and is aimed at solving Hilbert's Sixteenth Problem on the maximum number and relative position of limit cycles. The author presents a global bifurcation theory of such systems and suggests a new global approach to the study of limit cycle bifurcations.The obtained results can be applied to higher-dimensional dynamical systems and can be used for the global qualitative analysis of various mathematical models in mechanics, radioelectronics, in ecology and medicine.Audience: The book would be of interest to specialists in the field of qualitative theory of differential equations and bifurcation theory of dynamical systems. It would also be useful to senior level undergraduate students, postgraduate students, and specialists working in related fields of mathematics and applications.

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Bifurcation Theory / An Introduction with Applications to PDEs

Автор: KielhГ¶fer HansjГ¶rg
Название: Bifurcation Theory / An Introduction with Applications to PDEs
ISBN: 0387404015 ISBN-13(EAN): 9780387404011
Издательство: Springer
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Цена: 6541 р.
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Описание: In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.

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On the Topology of Isolated Singularities in Analytic Spaces

Автор: Seade JosГ©
Название: On the Topology of Isolated Singularities in Analytic Spaces
ISBN: 3764373229 ISBN-13(EAN): 9783764373221
Издательство: Springer
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Цена: 6159 р.
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Описание: This book has been awarded the Ferran Sunyer i Balaguer 2005 prize.The aim of this book is to give an overview of selected topics on the topology of real and complex isolated singularities, with emphasis on its relations to other branches of geometry and topology. The first chapters are mostly devoted to complex singularities and a myriad of results spread in a vast literature, which are presented here in a unified way, accessible to non-specialists. Among the topics are the fibration theorems of Milnor; the relation with 3-dimensional Lie groups; exotic spheres; spin structures and 3-manifold invariants; the geometry of quadrics and Arnold's theorem which states that the complex projective plane modulo conjugation is the 4-sphere.The second part of the book studies pioneer work about real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions. This provides new methods for constructing manifolds equipped with a rich geometry.The book is largely self-contained and serves a wide audience of graduate students, mathematicians and researchers interested in geometry and topology.

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Singularities of Caustics and Wave Fronts

Автор: Arnold V.
Название: Singularities of Caustics and Wave Fronts
ISBN: 1402003331 ISBN-13(EAN): 9781402003332
Издательство: Springer
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Цена: 7314 р.
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Resolution of Curve and Surface Singularities / in Characteristic Zero

Автор: Kiyek K., Vicente J.L.
Название: Resolution of Curve and Surface Singularities / in Characteristic Zero
ISBN: 1402020287 ISBN-13(EAN): 9781402020285
Издательство: Springer
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Цена: 7699 р.
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Описание: This book covers the beautiful theory of resolutions of surface singularities in characteristic zero. The primary goal is to present in detail, and for the first time in one volume, two proofs for the existence of such resolutions. One construction was introduced by H.W.E. Jung, and another is due to O. Zariski. Jung's approach uses quasi-ordinary singularities and an explicit study of specific surfaces in affine three-space. In particular, a new proof of the Jung-Abhyankar theorem is given via ramification theory. Zariski's method, as presented, involves repeated normalisation and blowing up points. It also uses the uniformization of zero-dimensional valuations of function fields in two variables, for which a complete proof is given.Despite the intention to serve graduate students and researchers of Commutative Algebra and Algebraic Geometry, a basic knowledge on these topics is necessary only. This is obtained by a thorough introduction of the needed algebraic tools in the two appendices.

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Commutative Algebra, Singularities and Computer Algebra

Автор: Herzog JГјrgen, Vuletescu Victor
Название: Commutative Algebra, Singularities and Computer Algebra
ISBN: 1402014864 ISBN-13(EAN): 9781402014864
Издательство: Springer
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Цена: 13859 р.
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Описание: Commutative Algebra, Singularities and Computer Algebra presents current trends in commutative algebra, algebraic combinatorics, singularity theory and computer algebra, and highlights the interaction between these disciplines. Contributions by leading international mathematicians thoroughly discuss topics in: modules theory, integrally closed ideals and determinantal ideals, singularities in projective spaces and Castelnuovo-Mumford regularity, Groebner and SAGBI basis, and the use of the computer packages Bergman, CoCoA and SINGULAR.

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Commutative Algebra, Singularities and Computer Algebra

Автор: Herzog JГјrgen, Vuletescu Victor
Название: Commutative Algebra, Singularities and Computer Algebra
ISBN: 1402014872 ISBN-13(EAN): 9781402014871
Издательство: Springer
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Цена: 8469 р.
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Описание: Commutative Algebra, Singularities and Computer Algebra presents current trends in commutative algebra, algebraic combinatorics, singularity theory and computer algebra, and highlights the interaction between these disciplines. Contributions by leading international mathematicians thoroughly discuss topics in: modules theory, integrally closed ideals and determinantal ideals, singularities in projective spaces and Castelnuovo-Mumford regularity, Groebner and SAGBI basis, and the use of the computer packages Bergman, CoCoA and SINGULAR.

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Singularities In Geometry And Topology 2004

Автор: Brasselet Jean-Paul & Suwa Tatsuo
Название: Singularities In Geometry And Topology 2004
ISBN: 4931469396 ISBN-13(EAN): 9784931469396
Издательство: World Scientific Publishing
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Цена: 8692 р.
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Описание: Constitutes the proceedings of the Third Franco-Japanese Symposium on Singularities in Geometry and Topology, held in Sapporo in September 2004. This title contains not only research papers on the advanced topics in the field but also some survey articles, which give a broad scope of some areas of the subject.

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Asymptotic Analysis And Singularities: Hyperbolic And Dispersive Pdes And Fluid Mechanics - Proceedings Of The 14Th Msj International Research Institute

Автор: Kozono Hideo, Ogawa Takayoshi, Yanagida Eiji Et Al
Название: Asymptotic Analysis And Singularities: Hyperbolic And Dispersive Pdes And Fluid Mechanics - Proceedings Of The 14Th Msj International Research Institute
ISBN: 493146940X ISBN-13(EAN): 9784931469402
Издательство: World Scientific Publishing
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Цена: 5113 р.
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Описание: Consists of the proceedings of the 14th MSJ International Research Institute `Asymptotic Analysis and Singularity`, which was held at Sendai, Japan in July 2005. This title contains survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

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Singularities and Groups in Bifurcation Theory

Автор: Golubitsky
Название: Singularities and Groups in Bifurcation Theory
ISBN: 0387909990 ISBN-13(EAN): 9780387909998
Издательство: Springer
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Цена: 11549 р.
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