Eigenfunction Branches of Nonlinear Operators, and their Bifurcations

Eigenfunction Branches of Nonlinear Operators, and their Bifurcations PDF Author: George H. Jr. Pimbley
Publisher: Springer
ISBN: 3540361472
Category : Mathematics
Languages : en
Pages : 135

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Eigenfunction Branches of Nonlinear Operators, and their Bifurcations

Eigenfunction Branches of Nonlinear Operators, and their Bifurcations PDF Author: George H. Jr. Pimbley
Publisher: Springer
ISBN: 3540361472
Category : Mathematics
Languages : en
Pages : 135

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Book Description


Dynamical Systems

Dynamical Systems PDF Author: Lamberto Cesari
Publisher: Academic Press
ISBN: 1483262030
Category : Mathematics
Languages : en
Pages : 366

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Book Description
Dynamical Systems: An International Symposium, Volume 1 contains the proceedings of the International Symposium on Dynamical Systemsheld at Brown University in Providence, Rhode Island, on August 12-16, 1974. The symposium provided a forum for reviewing the theory of dynamical systems in relation to ordinary and functional differential equations, as well as the influence of this approach and the techniques of ordinary differential equations on research concerning certain types of partial differential equations and evolutionary equations in general. Comprised of 29 chapters, this volume begins with an introduction to some aspects of the qualitative theory of differential equations, followed by a discussion on the Lefschetz fixed-point formula. Nonlinear oscillations in the frame of alternative methods are then examined, along with topology and nonlinear boundary value problems. Subsequent chapters focus on bifurcation theory; evolution governed by accretive operators; topological dynamics and its relation to integral equations and non-autonomous systems; and non-controllability of linear time-invariant systems using multiple one-dimensional linear delay feedbacks. The book concludes with a description of sufficient conditions for a relaxed optimal control problem. This monograph will be of interest to students and practitioners in the field of applied mathematics.

Nonlinear Functional Analysis

Nonlinear Functional Analysis PDF Author: Klaus Deimling
Publisher: Courier Corporation
ISBN: 0486132358
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.

Perspectives of Nonlinear Dynamics: Volume 2

Perspectives of Nonlinear Dynamics: Volume 2 PDF Author: E. Atlee Jackson
Publisher: CUP Archive
ISBN: 9780521426336
Category : Mathematics
Languages : en
Pages : 676

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Book Description
The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations.

Numerical Solution of Nonlinear Equations

Numerical Solution of Nonlinear Equations PDF Author: E.L. Allgöwer
Publisher: Springer
ISBN: 3540387811
Category : Mathematics
Languages : en
Pages : 457

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Elementary Stability and Bifurcation Theory

Elementary Stability and Bifurcation Theory PDF Author: Gerard Iooss
Publisher: Springer Science & Business Media
ISBN: 1461209978
Category : Mathematics
Languages : en
Pages : 347

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Book Description
This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.

Differential Equations

Differential Equations PDF Author: D. G. de Figueiredo
Publisher: Springer
ISBN: 3540395393
Category : Mathematics
Languages : en
Pages : 314

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Nonlinear Problems in the Physical Sciences and Biology

Nonlinear Problems in the Physical Sciences and Biology PDF Author: I. Stakgold
Publisher: Springer
ISBN: 3540385584
Category : Mathematics
Languages : en
Pages : 368

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Elementary Stability and Bifurcation Theory

Elementary Stability and Bifurcation Theory PDF Author: G. Iooss
Publisher: Springer Science & Business Media
ISBN: 1468493361
Category : Science
Languages : en
Pages : 300

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Book Description
In its most general form bifurcation theory is a theory of equilibrium solutions of nonlinear equations. By equilibrium solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of equilibrium solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broaqest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, econom ists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations. To accomplish our aims, we have thought it necessary to make the analysis 1. general enough to apply to the huge variety of applications which arise in science and technology, and 2. simple enough so that it can be understood by persons whose mathe matical training does not extend beyond the classical methods of analysis which were popular in the 19th Century. Of course, it is not possible to achieve generality and simplicity in a perfect union but, in fact, the general theory is simpler than the detailed theory required for particular applications. The general theory abstracts from the detailed problems only the essential features and provides the student with the skeleton on which detailed structures of the applications must rest. It is generally believed that the mathematical theory of bifurcation requires some functional analysis and some of the methods of topology and dynamics.

Bifurcation of Maps and Applications

Bifurcation of Maps and Applications PDF Author:
Publisher: Elsevier
ISBN: 008087147X
Category : Mathematics
Languages : en
Pages : 243

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Book Description
Bifurcation of Maps and Applications