Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Edition: 3rd 1983 (Reprint)
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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…
Copyright year: 1983
Publication date: 2/8/2002
Size: 6.50" wide x 9.75" long x 1.25" tall
|Introduction: Differential Equations and Dynamical Systems|
|An Introduction to Chaos: Four Examples|
|Averaging and Perturbation from a Geometric Viewpoint|
|Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors|
|Local Codimension Two Bifurcations of Flows|
|Suggestions for Further Reading|
|Postscript Added at Second Printing|