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

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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

Resign

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

prosperity

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 . ∈

prosperity

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

nocturia

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 . ∈

Pastry

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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