Singularities and groups in bifurcation theory, Golubitsky, Schaffer,

Автор: Kuznetsov Yuri A.
Название: Elements of Applied Bifurcation Theory
ISBN: 0387219064 ISBN-13(EAN): 9780387219066
Издательство: Springer
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Цена: 18167.00 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.

Автор: Kielh?fer
Название: Bifurcation Theory
ISBN: 1461405017 ISBN-13(EAN): 9781461405016
Издательство: Springer
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Цена: 10480.00 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. 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: Ghergu
Название: Isolated Singularities in Partial Differential Inequalities
ISBN: 1107138388 ISBN-13(EAN): 9781107138384
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Singularities are a common feature of the qualitative side of mathematics. In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities, which will appeal to researchers and graduate students interested in analysis.