| 书目名称 | Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields | | 编辑 | John Guckenheimer,Philip Holmes | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .From the reviews:. "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #.Book Review - . .Engineering Societies Library, New York.#1 "An attempt to make research tools concerning `strange attractors‘ developed in the last 20 years available to applied scientists and to make clear to research mathematicians the nee | | 出版日期 | Book 1983 | | 关键词 | Bifurcations; Chaos (Math; ); Dynamische Systeme; Fields; Nichtlineare Schwingung; Oscillations; Seltsamer | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1140-2 | | isbn_softcover | 978-1-4612-7020-1 | | isbn_ebook | 978-1-4612-1140-2Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media New York 1983 |
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书目名称Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields影响因子(影响力)
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书目名称Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields被引频次
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