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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

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ISBN-10: 0387908196

ISBN-13: 9780387908199

Edition: 3rd 1983 (Reprint)

Authors: F. John, Jerrold E. Marsden, John Guckenheimer, Philip Holmes, Lawrence Sirovich

List price: $129.00
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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…    
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Book details

List price: $129.00
Edition: 3rd
Copyright year: 1983
Publisher: Springer
Publication date: 2/8/2002
Binding: Hardcover
Pages: 462
Size: 6.50" wide x 9.75" long x 1.25" tall
Weight: 2.090
Language: English

Introduction: Differential Equations and Dynamical Systems
An Introduction to Chaos: Four Examples
Local Bifurcations
Averaging and Perturbation from a Geometric Viewpoint
Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors
Global Bifurcations
Local Codimension Two Bifurcations of Flows
Suggestions for Further Reading
Postscript Added at Second Printing