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Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems

D. W. Jordan and Peter Smith
Publisher: 
Oxford University Press
Publication Date: 
1999
Number of Pages: 
560
Format: 
Paperback
Edition: 
3
Series: 
Oxford Texts in Applied and Engineering Mathematics
Price: 
64.95
ISBN: 
0198565623
Category: 
Textbook
We do not plan to review this book.

1. Second-order differential equations in the phase plane
2. Plane autonomous systems and linearization
3. Geometrical aspects of plane autonomous systems
4. Periodic solutions; averaging methods
5. Perturbation methods
6. Singular perturbation methods
7. Forced oscillations: harmonic and subharmonic response, stability, and entrainment
8. Stability
9. Determination of stability by solution perturbation
10. Liapunov methods for determining stability of the zero solution
11. The existence of periodic solutions
12. Bifurcations and manifolds
13. Poincare sequences, homoclinic bifurcation, and chaos
Hints and answers to the problems
Appendix A. Existence and uniqueness theorems
Appendix B. Topographic systems
Appendix C. Norms for vectors and matrices
Appendix D. A contour integral
References and further reading
Index

 

Tags: 
Ordinary Differential Equations
Differential Equations