Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
John Guckenheimer, Philip Holmes
ISBN 10: 1461270200 ISBN 13: 9781461270201
Editorial: Springer-Verlag New York Inc., US, 2013
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Descripción
Descripción:
Softcover reprint of the original 1st ed. 1983. N° de ref. del artículo LU-9781461270201
Sinopsis:
This book applied the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking the 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 the reader develop an intuitive feel for the properties involved.
Críticas:
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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Título: Nonlinear Oscillations, Dynamical Systems, ...
Editorial: Springer-Verlag New York Inc., US
Año de publicación: 2013
Encuadernación: Paperback
Condición: New
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 i. Nº de ref. del artículo: 4189654
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Taschenbuch. Condición: Neu. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields | John Guckenheimer (u. a.) | Taschenbuch | xvi | Englisch | 2013 | Springer | EAN 9781461270201 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 105322844
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences)
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Springer New York, Springer US Nov 2013, 2013
ISBN 10: 1461270200
ISBN 13: 9781461270201
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. 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. Nº de ref. del artículo: 9781461270201
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Springer New York Nov 2013, 2013
ISBN 10: 1461270200
ISBN 13: 9781461270201
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - 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#2 484 pp. Englisch. Nº de ref. del artículo: 9781461270201
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences)
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Condición: New. Nº de ref. del artículo: ABLIING23Mar2716030028475
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Springer New York, Springer US, 2013
ISBN 10: 1461270200
ISBN 13: 9781461270201
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9781461270201
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Condición: New. pp. 484. Nº de ref. del artículo: 26128014495
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Edición internacional
NONLINEAR OSCILLATIONS DYNAMICAL SYSTEMS AND BIFURCATIONS OF VECTOR FIELDS (PB 2013)
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Condición: New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 7-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Nº de ref. del artículo: CBS 9781461270201
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