Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields “
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
Bibliographische Angaben
- Autoren: John Guckenheimer , Philip Holmes
- 2013, Softcover reprint of the original 1st ed. 1983., 462 Seiten, Maße: 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, New York
- ISBN-10: 1461270200
- ISBN-13: 9781461270201
Sprache:
Englisch
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