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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 (Applied Mathematical Sciences, 42) - Softcover
Synopsis
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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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.
"About this title" may belong to another edition of this title.
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences)
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Springer (edition Softcover reprint of the original 1st ed. 1983), 2013
ISBN 10: 1461270200
ISBN 13: 9781461270201
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Paperback. Condition: Very Good. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Softcover reprint of the original 1st ed. 1983. Seller Inventory # 1461270200-8-1
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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 (eng)
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Condition: 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. Seller Inventory # 4189654
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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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Springer New York Nov 2013, 2013
ISBN 10: 1461270200
ISBN 13: 9781461270201
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Taschenbuch. Condition: 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. Seller Inventory # 9781461270201
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Springer-Verlag New York Inc., US, 2013
ISBN 10: 1461270200
ISBN 13: 9781461270201
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Paperback. Condition: New. 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 Softcover reprint of the original 1st ed. 1983. Seller Inventory # LU-9781461270201
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42)
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