Nonlinear dynamics : exploration through normal forms
Peter B. Kahn, Yair Zarmi.
New York : Wiley, ©1998.
xiv, 401 págs. : ilustraciones ; 25 cm.
Serie: Wiley series in nonlinear science
ISBN: 0471176826
"A Wiley-Interscience publication".
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 98m:58121
Contenido
- 1. The text: its scope, style, and content
- 2. Basic concepts
- 3. Naive perturbation theory (NPT)
- 4. Formalism of perturbation expansion
- 5. Problems with eigenvalues that have negative real part
- 6. Normal form expansion for conservative planar systems
- 7. Dissipative planar systems
- 8. Nonautonomous oscillatory systems
- 9. Problems with a zero eigenvalue
- 10. Higher-dimensional Hamiltonian systems
- 11. Higher-dimensional dissipative systems.