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Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 1990Latest edition Springer-Verlag Berlin Heidelberg 1

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书目名称Elementary Stability and Bifurcation Theory
编辑Gérard Iooss,Daniel D. Joseph
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Elementary Stability and Bifurcation Theory;  Gérard Iooss,Daniel D. Joseph Textbook 1990Latest edition Springer-Verlag Berlin Heidelberg 1
描述In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations. By asymptotic 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 asymptotic solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broadest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, economists, and others whose work involves understanding asymptotic 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 nineteenth 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 applic
出版日期Textbook 1990Latest edition
关键词Bifurcation; Nichtlineare Entwicklungsgleichung; Potential; Stability; Stabilität; Verzweigung (Math; ); di
版次2
doihttps://doi.org/10.1007/978-1-4612-0997-3
isbn_softcover978-1-4612-6977-9
isbn_ebook978-1-4612-0997-3Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer-Verlag Berlin Heidelberg 1990
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https://doi.org/10.1007/978-3-531-18980-2d equally inℝ.and, say, for evolution problems governed by partial differential equations, like the Navier--Stokes equations or equations governing reaction and diffusion in chemical systems, provided the writing of these partial differential equations as evolution problems in Banach space can be ju
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Stability and Bifurcation in Conservative Systems,ic equilibria. There is a huge literature on static stability of conservative systems which is usually based on minimizing some well-defined energy in the sense of the calculus of variations. The equilibria are defined as critical points of the energy in the sense of the calculus of variations. The
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