Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42)

Guckenheimer, John; Holmes, Philip

ISBN 10: 0387908196 / ISBN 13: 9780387908199

Published by Springer, 1983

About this Item

This yellow hardcover is number 42 in Applied Mathematical Sciences. Book is an ex-library with typical stamps and marks. Binding is tight. Covers clean with moderately heavy wear on edges. Pages appear bright with occasional margin notes. Ships FAST! Bringing good books to happy readers since 2002.

Seller Inventory # 2601020018

Bibliographic Details

• Title: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42)
• Publisher: Springer
• Publication Date: 1983
• Language: English
• ISBN 10: 0387908196
• ISBN 13: 9780387908199
• Binding: hardcover
• Condition: Fair
• Weight: 29 ounces

About this title

Synopsis

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

Review

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