Nonlinear ordinary differential equations : an introduction to dynamical systems

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