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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields /

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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 di...

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Bibliographic Details
Main Author: Guckenheimer, John
Corporate Author: SpringerLink (Online service)
Other Authors: Holmes, Philip, 1945-
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1983]
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 42.
Subjects:
Nonlinear oscillations.
Differentiable dynamical systems.
Bifurcation theory.
Vector fields.
théorie bifurcation.
bifurcation.
équation différentielle.
champ vectoriel.
oscillation non linéaire.
système dynamique.
Oscillations non linéaires.
Dynamique différentiable.
Bifurcation, Théorie de la.
Champs vectoriels.
Vibrações.
Acustica, Vibracao E Ultrasons.
Niet-lineaire theorieën.
Bifurcatie.
Vectorvelden.
Niet-lineaire dynamica.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Contents: Introduction: Differential Equations and Dynamical Systems
  • An Introduction to Chaos: Four Examples
  • Local Bifurcations
  • Averaging and Perturbation from a Geometric Viewpoint
  • Hyperbolic Sets, Sympolic Dynamics, and Strange Attractors
  • Global Bifurcations
  • Local Codimension Two Bifurcations of Flows
  • Appendix: Suggestions for Further Reading. Postscript Added at Second Printing. Glossary. References. Index.