Nonlinear Ordinary Differential Equations: Problems and Solutions —— A Sourcebook for Scientists and Engineers

----- 非线性常微分方程：问题与解答

ISBN: 9780199212033 出版年：2007 页码：594 Jordan, Dominic Smith, Peter Oxford University Press

Preface 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, entrainment 8. Stability 9. Stability by solution perturbation: Mathieu's equation 10. Liapunov methods for determining stability of the zero equation 11. The existence of periodic solutions 12. Bifurcations and manifolds 13. Poincare sequences, homoclinic bifurcation, and chaos