Singularities and Groups in Bifurcation Theory, Martin Golubitsky; David G. Schaeffer

Автор: Kuznetsov Yuri A.
Название: Elements of Applied Bifurcation Theory
ISBN: 0387219064 ISBN-13(EAN): 9780387219066
Издательство: Springer
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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.

Автор: Kielh?fer
Название: Bifurcation Theory
ISBN: 1461405017 ISBN-13(EAN): 9781461405016
Издательство: Springer
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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. The second edition is substantially and formally revised and new material is added. Among this is bifurcation with a two-dimensional kernel with applications, the buckling of the Euler rod, the appearance of Taylor vortices, the singular limit process of the Cahn-Hilliard model, and an application of this method to more complicated nonconvex variational problems.  

Автор: Guo, Shangjiang, Wu, Jianhong
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1461469910 ISBN-13(EAN): 9781461469919
Издательство: Springer
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Описание: This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains examples and applications.

Автор: Brasselet Jean-Paul
Название: Singularities
ISBN: 0521466318 ISBN-13(EAN): 9780521466318
Издательство: Cambridge Academ
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Описание: This book contains papers given at the International Singularity Conference held in 1991 at Lille. Research workers in singularity theory or related subjects will find that this book contains a wealth of valuable information.

Автор: Golubitsky, Schaffer,
Название: Singularities and groups in bifurcation theory
ISBN: 0387966528 ISBN-13(EAN): 9780387966526
Издательство: Springer
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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.

Автор: H.G. Garnir
Название: Singularities in Boundary Value Problems
ISBN: 9400984367 ISBN-13(EAN): 9789400984363
Издательство: Springer
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Цена: 27950.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Maratea, Italy, September 22-October 3, 1980

Автор: Andras N?methi; Agnes Szil?rd
Название: Deformations of Surface Singularities
ISBN: 3642391303 ISBN-13(EAN): 9783642391309
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples.

Автор: Herwig Hauser; Joseph Lipman; Frans Oort; Adolfo Q
Название: Resolution of Singularities
ISBN: 3764361786 ISBN-13(EAN): 9783764361785
Издательство: Springer
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Описание: In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. This title presents the four courses given during this week.