Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
462
Utgivningsdatum
2002-02-01
Upplaga
1st ed. 1983. Corr. 6th printing 2002
Förlag
Springer-Verlag New York Inc.
Medarbetare
Holmes, Philip
Illustrationer
XVI, 462 p.
Dimensioner
240 x 165 x 30 mm
Vikt
820 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9780387908199
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (inbunden)

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Inbunden Engelska, 2002-02-01
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An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. 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 an intuitive feel for the properties involved.
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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 graduate course for mathematicians and physicists . . . Its excellent survey of the mathematical literature makes it a valuable reference."-JOURNAL OF STATISTICAL PHYSICS

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Innehållsförteckning

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