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＜電子ブック＞
Introduction to Applied Nonlinear Dynamical Systems and Chaos / by Stephen Wiggins
(Texts in Applied Mathematics. ISSN:21969949 ; 2)

版	1st ed. 1990.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1990
本文言語	英語
大きさ	XIV, 672 p. 180 illus : online resource
著者標目	*Wiggins, Stephen author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	0 Introduction -- 1 The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples -- 2 Methods for Simplifying Dynamical Systems -- 3 Local Bifurcations -- 4 Some Aspects of Global Bifurcation and Chaos Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM) . The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface This textbook was developed from material presented in a year-long, grad­ uate-level course in nonlinear dynamics that I taught at Caltech over the past five years. It contains the basic techniques and results I believe to be necessary for graduate students to begin research in the field HTTP:URL=https://doi.org/10.1007/978-1-4757-4067-7

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