| 書(shū)目名稱(chēng) | Elementary Stability and Bifurcation Theory | | 編輯 | Gérard Iooss,Daniel D. Joseph | | 視頻video | http://file.papertrans.cn/308/307422/307422.mp4 | | 叢書(shū)名稱(chēng) | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 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 | | doi | https://doi.org/10.1007/978-1-4684-9336-8 | | isbn_ebook | 978-1-4684-9336-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1980 |
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