Nonlinear differential equations and dynamical systems
Ferdinand Verhulst.
Berlin : Springer-Verlag, ©1990.
ix, 277 págs. : ilustraciones ; 25 cm.
Serie: Universitext
ISBN: 3540506284, 0387506284 (New York)
Traducción de: Nietlineaire differentiaalvergelijkingen en dynamische systemen. Utrecht : Epsilon Uitgaven, 1985.
Incluye referencias bibliográficas (p. 271-274) e índice.
Reseña: MathSciNet, 91b:34002
Contenido
- 1. Introduction
- 2. Autonomous equations
- 3. Critical points
- 4. Periodic solutions
- 5. Introduction to the theory of stability
- 6. Linear equations
- 7. Stability by linearisation
- 8. Stability analysis by the direct method
- 9. Introduction to perturbation theory
- 10. The Poincaré-Lindstedt method
- 11. The method of averaging
- 12. Relaxation oscillations
- 13. Bifurcation theory
- 14. Chaos
- 15. Hamiltonian systems.