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: -OnTimeBooks-, Phoenix, AZ, U.S.A.
Condition: very_good. Gently read. May have name of previous ownership, or ex-library edition. Binding tight; spine straight and smooth, with no creasing; covers clean and crisp. Minimal signs of handling or shelving. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships USPS Media Mail. Seller Inventory # OTV.0387908196.VG
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: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Condition: Very Good. first edition, first printing, 478 pp., hardcover, spine faded, some faint wear to cornerselse text clean & binding tight. - 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: 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: Little Moon Books, San Francisco, CA, U.S.A.
Hardcover. Condition: Near Fine. 1st Edition. Hardcover. First Edition with complete number line. 453 pages with 206 illustrations. Book has light shelf wear, some light sunning to edges. Stanford bookstore sticker to rear cover. Seller Inventory # ABE-1758524791031
Seller: Theoria Books, Andover, MA, U.S.A.
Hardcover. Condition: Near Fine. 1st Edition. 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. Seller Inventory # 002927
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
Seller: Anybook.com, Lincoln, United Kingdom
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
Quantity: 1 available