459 pp. , xvi. First published in 1983; this copy, Stated on Title page: "Third Printing, Revised and Corrected"; on Copyright page: "(Corrected third printing, 1990)". With 206 Illustrations. Following the Preface and Preface to the Second Printing [1985], Contents divided into 7 Chapters: (1) "Introduction: Differential Equations and Dynamical Systems"; (2) "An Introduction to Chaos: Four Examples"; (3) "Local Bifurcations"; (4) "Averaging and Perturbation from a Geometric Viewpoint"; (5) "Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors"; (6) "Global Bifurcations"; (7) "Local Codimension Two Bifurcations of Flows"; Appendix: Suggestions for Further Reading, pp. 421-423; Postscript Added at Second Printing, pp. 425-429; Glossary, pp. 431-435;References, pp. 437-454; Index, pp. 455-459. Glossy yellow boards with large white circle on top half front cover for Author Names, Title and Series lettering in black letters.Spine and gutter edges uniformly sunned to lighter yellow than covers, else Flawless: Tight binding (NO cracks); sharp corners (NO bumps or curls); NO rubbing wear; NO remainder marks; NO previous owner names. Clean Text. UNREAD, essentially As New.

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Bibliographic Details

Title: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42)
Publisher: Springer-Verlag, New York Berlin Heidleberg London Paris Tokyo
Publication Date: 1990
Language: English
ISBN 10: 0387908196
ISBN 13: 9780387908199
Binding: Hardcover
Edition: 1st Edition
Condition: Near Fine

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Synopsis

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

Review

J. Guckenheimer and P. Holmes

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

"The book is rewarding reading . . . The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists . . . Its excellent survey of the mathematical literature makes it a valuable reference."―JOURNAL OF STATISTICAL PHYSICS

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