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Titlebook: Differential Equations and Dynamical Systems; Lawrence Perko Textbook 19962nd edition Springer-Verlag New York, Inc. 1996 Degrees of freed

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书目名称Differential Equations and Dynamical Systems
编辑Lawrence Perko
视频video
丛书名称Texts in Applied Mathematics
图书封面Titlebook: Differential Equations and Dynamical Systems;  Lawrence Perko Textbook 19962nd edition Springer-Verlag New York, Inc. 1996 Degrees of freed
描述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 bf 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 Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer 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 Math­ ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordin
出版日期Textbook 19962nd edition
关键词Degrees of freedom; Eigenvalue; Stability theory; bifurcation theory; differential equation; maximum; ordi
版次2
doihttps://doi.org/10.1007/978-1-4684-0249-0
isbn_ebook978-1-4684-0249-0Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer-Verlag New York, Inc. 1996
The information of publication is updating

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0939-2475 tific disciplines and a resurgence bf 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 Mat!!ematics (TAM). The development of new courses is a nat
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Linear Systems,ries. A good portion of this chapter is concerned with the computation of the matrix . in terms of the eigenvalues and eigenvectors of the square matrix . Throughout this book all vectors will be written as column vectors and . will denote the transpose of the matrix
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G. Laricchia,D. A. Cooke,S. J. Brawleymined by the behavior of the linear system (1) near the origin when the matrix .f(x.), the derivative of . at x.. We also discuss some of the ramifications of these theorems for two-dimensional systems when det .(x.) . 0 and cite some of the local results of Andronov et al. [A-I] for planar systems
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The Cancer Risk from Low-Level Radiationqualitative structure of the solution set or of the global phase portrait of (1) changes as the vector field f passes through a point in the bifurcation set. In this chapter, we study various types of bifurcations that occur in .-systems . depending on a parameter . ∈ . (or on several parameters . ∈
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Nonlinear Systems: Local Theory,mined by the behavior of the linear system (1) near the origin when the matrix .f(x.), the derivative of . at x.. We also discuss some of the ramifications of these theorems for two-dimensional systems when det .(x.) . 0 and cite some of the local results of Andronov et al. [A-I] for planar systems
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Nonlinear Systems: Bifurcation Theory,qualitative structure of the solution set or of the global phase portrait of (1) changes as the vector field f passes through a point in the bifurcation set. In this chapter, we study various types of bifurcations that occur in .-systems . depending on a parameter . ∈ . (or on several parameters . ∈
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Textbook 19962nd editiond beginning graduate courses, and will complement the Applied Math­ ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordin
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