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
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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Seller: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condition: Fair. Revised. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way. Seller Inventory # 0387908196-7-1-13
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Hardback. Condition: Fair. 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. Seller Inventory # CIN0387908196A
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Hardcover. Condition: Good. No Jacket. Former library book; Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387908196I3N11
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Hardcover. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387908196I3N00
Seller: Swan Trading Company, GEORGETOWN, TX, U.S.A.
hardcover. Condition: Good. Dust Jacket Condition: Missing. Hardcover rebound ex-library with typical marks shows moderate cover wear. No jacket. Text is unmarked. Ships FAST! Seller Inventory # 2609250031
Seller: Swan Trading Company, GEORGETOWN, TX, U.S.A.
hardcover. Condition: Fair. This yellow hardcover is number 42 in Applied Mathematical Sciences. Book is an ex-library with typical stamps and marks. Binding is tight. Covers clean with moderately heavy wear on edges. Pages appear bright with occasional margin notes. Ships FAST! Bringing good books to happy readers since 2002. Seller Inventory # 2601020018
Seller: World of Books Inc, Montgomery, IL, U.S.A.
Hardback. Condition: Fair. 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. Seller Inventory # CIN0387908196A
Seller: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condition: Very Good. Revised. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0387908196-11-1
Seller: Better World Books, Mishawaka, IN, U.S.A.
Condition: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 15919087-6
Seller: Better World Books, Mishawaka, IN, U.S.A.
Condition: Good. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 5694332-6