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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Author: John Guckenheimer; Philip Holmes
Publisher: New York : Springer, 2002.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 42.
Edition/Format:   Print book : English : Corr. 7th printView all editions and formats
Database:WorldCat
Summary:

Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop  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 9781461270201 1461270200
OCLC Number: 51506830
Description: xvi, 459 pages : illustrations ; 25 cm.
Contents: Chapter 1: Introduction: Differential Equations and Dynamical Systems * Chapter 2: An Introduction to Chaos: Four Examples * Chapter 3: Local Bifurcations * Chapter 4: Averaging and Perturbation from a Geometric Viewpoint * Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors * Chapter 6: Global Bifurcations * Chapter 7: 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. HolmesNonlinear 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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