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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 (Applied Mathematical Sciences, 42) - Hardcover

 
9780387908199: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 (Applied Mathematical Sciences, 42)

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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 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

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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

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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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Hardback. Condition: Very Good. Series: Applied Mathematical Sciences. xiii 459p large hardback, canary-yellow laminated boards, firm binding, spine sunned, pages clean and bright like new, text and diagrams clear and sharp, an excellent copy Language: English Weight (g): 1880. Seller Inventory # 233636

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Condition: Good. Volume 42. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780387908199. Seller Inventory # 5564260

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