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
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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
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