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Sinossi
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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Recensione
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
Contenuti
Chapter 1: Introduction: Differential Equations and Dynamical Systems * Chapter 2: An Introduction to Chaos: Four Examples * Chapter 3: Local Bifurcations * Chapter 4: Averaging and Perturbation from a Geometric Viewpoint * Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors * Chapter 6: Global Bifurcations * Chapter 7: Local Codimension Two Bifurcations of Flows * Appendix * Suggestions for Further Reading * Postscript Added at Second Printing * Glossary * References * Index
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- EditoreSpringer Nature
- Data di pubblicazione2002
- ISBN 10 0387908196
- ISBN 13 9780387908199
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine453
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences (42))
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42)
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.
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New York: Springer, 1983
ISBN 10: 0387908196
ISBN 13: 9780387908199
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Hardback. Condizione: Very Good. Series: Applied Mathematical Sciences. xiii 459p large hardback, canary-yellow laminated boards, firm binding, spine sunned, pages clean and bright like new, text and diagrams clear and sharp, an excellent copy Language: English Weight (g): 1880. Codice articolo 233636
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42)
ISBN 10: 0387908196
ISBN 13: 9780387908199
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Da: Theoria Books, Andover, MA, U.S.A.
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Hardcover. Condizione: 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. Codice articolo 002927
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences Vol. 42)
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Hardcover. Condizione: Near Fine. Springer-Vverlag, 1983. NearFine Hardcover. 9.5"x6.25"x1.1". be48. Codice articolo ABE-1708350224659
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Volume 42)
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Condizione: 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. Codice articolo 5564256
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Volume 42)
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Condizione: 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. Codice articolo 5564260
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Volume 42)
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Condizione: 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. Codice articolo 5564259
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