Global Bifurcation of Periodic Solutions with Symmetry, Bernold Fiedler

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: B?HMER; ALLGOWER; GOLUBITSKY
Название: Bifurcation and Symmetry
ISBN: 303487538X ISBN-13(EAN): 9783034875387
Издательство: Springer
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Описание: Symmetry is a property which occurs throughout nature and it is therefore natural that symmetry should be considered when attempting to model nature. In recent years, the tools provided by group theory and representation theory have proven to be highly effective in treating nonlinear problems involving symmetry.

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: 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: Shangjiang Guo; Jianhong Wu
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1489988963 ISBN-13(EAN): 9781489988966
Издательство: Springer
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Цена: 13275.00 р.
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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: Dana Schlomiuk
Название: Bifurcations and Periodic Orbits of Vector Fields
ISBN: 0792323920 ISBN-13(EAN): 9780792323921
Издательство: Springer
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Описание: The last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields". This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy- namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems. Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work.

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: 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.

Автор: Vy Khoi Le; Klaus Schmitt
Название: Global Bifurcation in Variational Inequalities
ISBN: 0387948864 ISBN-13(EAN): 9780387948867
Издательство: Springer
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Описание: Presents a 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; torsion problems; equations from fluid mechanics; and, quasilinear elliptic partial differential equations.

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;