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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Author: John Guckenheimer; Philip Holmes
Publisher: New York : Springer-Verlag, ©1983.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 42.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Applies the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. This book includes exercises that convey the important analytical underpinnings of  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John Guckenheimer; Philip Holmes
ISBN: 0387908196 9780387908199 3540908196 9783540908197
OCLC Number: 9110889
Description: xvi, 459 . : illustrations ; 24 cm.
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.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 42.
Responsibility: John Guckenheimer, Philip Holmes.
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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 Read more...

 
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