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: Once Upon A Time Books, Siloam Springs, AR, U.S.A.
hardcover. Condition: Acceptable. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear . It may also be ex-library or without dustjacket. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear . It may also be ex-library or without dustjacket. Seller Inventory # mon0003315682
Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Hardcover. Condition: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387908196I5N00
Seller: Friends of Pima County Public Library, Tucson, AZ, U.S.A.
hardcover. Condition: Acceptable. Hardcover. NOT Ex-library. Acceptable/fair. Until further notice, USPS Priority Mail only reliable option for Hawaii. Proceeds benefit the Pima County Public Library system, which serves Tucson and southern Arizona. Name cut out from book label on front frre end paper. Inscribed on inside by previous owner. Seller Inventory # 529UHD000FFQ
Seller: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condition: Very Good. 1983. 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: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Condition: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, June 15 (SALE item)* first edition, first printing, 478 pp., hardcover, spine faded, previous owner's name to front free endpaper else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1347478
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: Seagull Books, Hove, United Kingdom
Hardcover. Condition: Good. Has some light general reading/shelfwear - otherwise this is a clean, tight copy. Dispatch within 24hrs from the UK. Seller Inventory # 091904
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Seller: Anybook.com, Lincoln, United Kingdom
Condition: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Book contains pencil markings. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,950grams, ISBN:9780387908199. Seller Inventory # 2379208
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Seller: Anybook.com, Lincoln, United Kingdom
Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Library sticker on front cover.Damaged spine. 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 # 2288770
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Seller: Saul54, Lynn, MA, U.S.A.
Hardcover. Condition: Near Fine. Springer-Vverlag, 1983. NearFine Hardcover. 9.5"x6.25"x1.1". be48. Seller Inventory # ABE-1708350224659