Nonlinear Ordinary Differential Equations
- List Price: $46.95
- Binding: Paperback
- Edition: 0002
- Publisher: Oxford University Press
- Publish date: 01/01/2007
Description:
1. Second-Order Differential Equations in the Phase Plane 2. First-Order Systems in Two Variables and Linearization 3. Geometrical and Computational Aspects of the Phase Diagram 4. Averaging Methods 5. Perturbation Methods 6. Singular Perturbation Methods 7. Forced Oscillations: Harmonic and Subharmonic Response, Stability, Entrainment 8. Stability 9. Determination of Stability by Solution Perturbation 10. Liapunov Methods for Determining Stability 11. The Existence of Periodic Solutions 12. Bifurcations, Structural Stability, and Chaos Appendix A: Existence and Uniqueness Theorems Appendix B: Hints and Answers to the Exercises
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