Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
著者
書誌事項
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
（Applied mathematical sciences, v. 42）
Springer-Science+Business Media, 2002, c1983
corr. 7th printing
- : pbk
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注記
"Originally published by Springer-Verlag New York, Inc. in 1983. Softcover reprint of the hardcover 1st edition 1983"--T.p. verso
Includes bibliographical references (p. [437]-454) and index
内容説明・目次
内容説明
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.
目次
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
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