Continuation Techniques and Bifurcation Problems, MITTELMANN; FISCHER

Автор: Dirk Roose; Bart De Dier; Alastair Spence
Название: Continuation and Bifurcations: Numerical Techniques and Applications
ISBN: 9401067813 ISBN-13(EAN): 9789401067812
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989

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: W.F.Jr. Donoghue
Название: Monotone Matrix Functions and Analytic Continuation
ISBN: 3642657575 ISBN-13(EAN): 9783642657573
Издательство: Springer
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Описание: In the remainder of the book we treat a closely related topic: Loewner`s theory of monotone matrix functions and his analytic continuation theorem which guarantees that a real function on an interval of the real axis which is a monotone matrix function of arbitrarily high order is the restriction to that interval of a Pick function.

Автор: Eugene L. Allgower; Kurt Georg
Название: Numerical Continuation Methods
ISBN: 3642647642 ISBN-13(EAN): 9783642647642
Издательство: Springer
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Описание: It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria.

Автор: K?PPER; SCHNEIDER; SEYDEL; TROGER
Название: Bifurcation and Chaos: Analysis, Algorithms, Applications
ISBN: 303487006X ISBN-13(EAN): 9783034870061
Издательство: Springer
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Цена: 6986.00 р.
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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: Bernold Fiedler
Название: Global Bifurcation of Periodic Solutions with Symmetry
ISBN: 3540192344 ISBN-13(EAN): 9783540192343
Издательство: Springer
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Описание: Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? This book probes these questions.

Автор: Vy Khoi Le; Klaus Schmitt
Название: Global Bifurcation in Variational Inequalities
ISBN: 146127298X ISBN-13(EAN): 9781461272984
Издательство: Springer
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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: 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: 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.

Автор: Stefan Liebscher
Название: Bifurcation without Parameters
ISBN: 3319107763 ISBN-13(EAN): 9783319107769
Издательство: Springer
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Описание: Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems.