Nonlinear ordinary differential equations
D. W. Jordan and P. Smith.
2nd ed.
Oxford : Clarendon Press, 1987.
ix, 381 págs. : ilustraciones ; 22 cm.
Serie: Oxford applied mathematics and computing science series
ISBN: 0198596561 (pbk.), 019859657X (hard)
Bibliografía: p. [373]-375.
Reseña: MathSciNet, 89a:34001
Contenido
- 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.