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Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 19801st edition Springer Science+Business Media New Yo

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書目名稱Elementary Stability and Bifurcation Theory
編輯Gérard Iooss,Daniel D. Joseph
視頻videohttp://file.papertrans.cn/308/307422/307422.mp4
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Elementary Stability and Bifurcation Theory;  Gérard Iooss,Daniel D. Joseph Textbook 19801st edition Springer Science+Business Media New Yo
描述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 applicati
出版日期Textbook 19801st edition
關(guān)鍵詞Eigenvalue; Implicit function; Potential; bifurcation; derivative; differential equation; eigenvector; equi
版次1
doihttps://doi.org/10.1007/978-1-4684-9336-8
isbn_ebook978-1-4684-9336-8Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1980
The information of publication is updating

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,Pharmacology—Toxicology of the Lithium Ion,urcation of a steady solution. In this case the symmetry of the forcing data, which is steady, is broken by the time-periodic solution. The dynamical system then has “a mind of its own” in the sense that the solution does not follow the symmetry imposed by the given data.
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Koyel Bhattacharya,Sanjib Bhattacharya(t,μ,.) = .(f + T, μ,.). In §1.3 we showed how the reduced problem arises from the study of forced T-periodic solutions U(t) = .(t + T) of evolution problems in the form.where U = 0 is . a solution because.In this type of problem the outside world communicates with the dynamical system governed by (
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,Pharmacology—Toxicology of the Lithium Ion,urcation of a steady solution. In this case the symmetry of the forcing data, which is steady, is broken by the time-periodic solution. The dynamical system then has “a mind of its own” in the sense that the solution does not follow the symmetry imposed by the given data.
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