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Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems

Edition: 
3
Publisher: 
Oxford University Press
Number of Pages: 
560
Price: 
64.95
ISBN: 
0198565623
Date Received: 
Tuesday, April 25, 2006
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
D. W. Jordan and Peter Smith
Series: 
Oxford Texts in Applied and Engineering Mathematics
Publication Date: 
1999
Format: 
Paperback
Audience: 
Category: 
Textbook

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

 

Publish Book: 
Modify Date: 
Sunday, July 6, 2008

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