Numerical Bifurcation Analysis for Reaction-Diffusion Equations, Zhen Mei

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: 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: 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: Seydel, Rudiger
Название: Practical bifurcation and stability analysis
ISBN: 144191739X ISBN-13(EAN): 9781441917393
Издательство: Springer
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Описание: Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.

Автор: Jorge Buescu; Paulo M.S.T. de Castro; Ana Paula Di
Название: Bifurcation, Symmetry and Patterns
ISBN: 3034896425 ISBN-13(EAN): 9783034896429
Издательство: Springer
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Описание: It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions.

Автор: Vy Khoi Le; Klaus Schmitt
Название: Global Bifurcation in Variational Inequalities
ISBN: 146127298X ISBN-13(EAN): 9781461272984
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Описание: An up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications, such as: obstacle problems from elasticity theory, unilateral problems;

Автор: Shangjiang Guo; Jianhong Wu
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1489988963 ISBN-13(EAN): 9781489988966
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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: K?PPER; SCHNEIDER; SEYDEL; TROGER
Название: Bifurcation and Chaos: Analysis, Algorithms, Applications
ISBN: 303487006X ISBN-13(EAN): 9783034870061
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Описание: This volume contains the proceedings of a conference held in Wiirzburg, August 20-24, 1990. How trends vary may be seen by comparing these proceedings with previous ones, in particular with the conference held in Dortmund 1986 (proceedings published in ISNM 79).

Автор: Golubitsky, Schaffer,
Название: Singularities and groups in bifurcation theory
ISBN: 0387966528 ISBN-13(EAN): 9780387966526
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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: Martin Golubitsky; David G. Schaeffer
Название: Singularities and Groups in Bifurcation Theory
ISBN: 1461295335 ISBN-13(EAN): 9781461295334
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Описание: This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob- lems and we hope to convert the reader to this view.

Автор: V. Gaiko
Название: Global Bifurcation Theory and Hilbert`s Sixteenth Problem
ISBN: 1461348196 ISBN-13(EAN): 9781461348191
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Описание: On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna- tional Congress of Mathematicians in Paris. Lyapunov set forth and solved completely in the very wide class of cases a special problem of the qualitative theory: the problem of motion stability (154].

Автор: Zhen Mei
Название: Numerical Bifurcation Analysis for Reaction-Diffusion Equations
ISBN: 3642086691 ISBN-13(EAN): 9783642086694
Издательство: Springer
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Описание: This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.