An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
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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
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
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Anbieter: Zubal-Books, Since 1961, Cleveland, OH, USA
Zustand: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Nov. 10 (SALE ITEM)* first printing, 478 pp., hardcover, spine faded, 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. Artikel-Nr. ZB1333981
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Zustand: Good. 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. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780387908199. Artikel-Nr. 4148650
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Anbieter: Saul54, Lynn, MA, USA
Hardcover. Zustand: Near Fine. Springer-Vverlag, 1983. NearFine Hardcover. 9.5"x6.25"x1.1". be48. Artikel-Nr. ABE-1708350224659
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Zustand: 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. Artikel-Nr. 5564260
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Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Zustand: 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. Artikel-Nr. 5564259
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Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Zustand: 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. Artikel-Nr. 5564256
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Anbieter: Antiquariat Bernhardt, Kassel, Deutschland
Karton. Zustand: Sehr gut. Zust: Gutes Exemplar. 459 Seiten, mit Abbildungen, Englisch 818g. Artikel-Nr. 360555
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Anbieter: WorldofBooks, Goring-By-Sea, WS, Vereinigtes Königreich
Hardback. Zustand: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Artikel-Nr. GOR007901400
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Anbieter: Buchpark, Trebbin, Deutschland
Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Artikel-Nr. 1506280/2
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Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Buch. Zustand: Neu. Neuware -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#2Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 484 pp. Englisch. Artikel-Nr. 9780387908199
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