Bifurcation without Parameters, Stefan Liebscher

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: Pascal Chossat
Название: Dynamics, Bifurcation and Symmetry
ISBN: 9401044139 ISBN-13(EAN): 9789401044134
Издательство: Springer
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Описание: This book collects contributions to the conference" Dynamics, Bifurcation and Symmetry, new trends and new tools", which was held at the Institut d`Etudes Sci- entifiques de Cargese (France), September 3-9, 1993.

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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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: K?PPER; SEYDEL; TROGER
Название: Bifurcation: Analysis, Algorithms, Applications
ISBN: 3034872437 ISBN-13(EAN): 9783034872430
Издательство: Springer
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Описание: The subjects covered treat bifurcation problems, ranging from theoretical investigations to numerical results, with emphasis placed upon applications. Different kinds of bifurcations are treated: Hopf bifurcation, bifurcation from continuous spec- trum, complex bifurcation, and bifurcation near tori.

Автор: Guo, Shangjiang, Wu, Jianhong
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1461469910 ISBN-13(EAN): 9781461469919
Издательство: Springer
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Цена: 102480.00 T
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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: S.-N. Chow; J. K. Hale
Название: Methods of Bifurcation Theory
ISBN: 1461381614 ISBN-13(EAN): 9781461381617
Издательство: Springer
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Описание: An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied.

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: Michiel Hazewinkel; R. Jurkovich; J.H.P. Pealinck
Название: Bifurcation Analysis
ISBN: 940096241X ISBN-13(EAN): 9789400962415
Издательство: Springer
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Описание: Although the volume is perhaps multidisciplinary rather than interdisciplinary - the interdisciplinary aspect being only "latent" -, as a "soft" interdisciplinary exercise (the application of formal structures of one discipline to another) it has a right to interdisciplinary existence!

Автор: Jacob Kogan
Название: Bifurcation of Extremals in Optimal Control
ISBN: 3540168184 ISBN-13(EAN): 9783540168188
Издательство: Springer
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Автор: MITTELMANN; FISCHER
Название: Continuation Techniques and Bifurcation Problems
ISBN: 3764323973 ISBN-13(EAN): 9783764323974
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Описание: In many cases continuation procedures are used as part of a more complete analysis of a nonlinear problem, based on bifurcation theory and singularity theory.

Автор: C.P. Bruter; A. Aragnol; A. Lichnorowicz
Название: Bifurcation Theory, Mechanics and Physics
ISBN: 9027716315 ISBN-13(EAN): 9789027716316
Издательство: Springer
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Описание: This volume presents the proceedings of a colloquium inspired by the former President of the French Mathematical Society, Michel Herve. The aim was to promote the development of mathematics through applications. Since the ancient supports the new, it seemed appropriate to center the theoretical conferences on new subjects. Since the world is movement and creation, the theoretical conferences were planned on mechanics (movement) and bifurcation theory (creation). Five aspects of mechanics were to be presented, but, unfortunately, it has not been possible to include the statis- tical mechanics aspect. So that only four aspects are presented: Classical mechanics (Hamiltonian, Lagrangian, Poisson) (W.N. Tulczyjew, J .E. l-lhite, C.M. MarIe). - Quantum mechanics (in particular the passage from the classi- cal to the quantum approach and the problem of finding the explicit solution of Schrodinger's equation)(M. Cahen and S. Gutt, J. Leray). Fluid mechanics (meaning problems involving partial differ- ential equations. One of the speakers we hoped would attend the conference was in Japan at the time, however his lecture is presented in these proceedings.) (J.F. Pommaret, H.I-l. Shi) - Mathematical "information" theory (S. Guiasll) Traditional physical arguments are characterized by their great homogeneity, and mathematically expressed by the compactness prop- erty. In such cases, there is a kind of duality between locality and globality, which allows the use of the infinitesimal in global considerations.