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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Volume 42 || by John Guckenheimer, Philip Holmes (auth.) is a nonfiction available to read on EtoBox.

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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 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 a

Who reads Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Volume 42 ||?

Author

John Guckenheimer, Philip Holmes (auth.)

Publisher

Springer New York : Imprint : Springer

Published

1983

Language

EN

ISBN

9781461211402

Category

nonfiction

Subjects

Mathematics, Stem