Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Paperback, Softcover reprint of the original 1st ed. 1983)

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 needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #"American Mathematical Monthly"#2

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Applied Mathematical Sciences, 42
Release date:	November 2013
First published:	1983
Authors:	John Guckenheimer • Philip Holmes
Dimensions:	235 x 155 x 30mm (L x W x T)
Format:	Paperback
Pages:	462
Edition:	Softcover reprint of the original 1st ed. 1983
ISBN-13:	978-1-4612-7020-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	1-4612-7020-0
Barcode:	9781461270201

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