Nonlinear Ordinary Differential Equations; an introduction to dynamical systems /
D.W. Jordan / P. Smith
- 3
- 550 páginas
I: Second-order differential equations in the phase plane II: Plane autonomous systems and linearization III: Geometrical aspects of plane autonomous systems IV: Periodic solutions, averaging methods V: Perturbation VI: Singular perturbation methods VII: Forced oscillations, harmonic and subharmonic response, stability, and entrainment VIII: Stability IX: Determination of stability by solution perturbation X: Lyapunov methods for determining stability of the zero solution XI: The existence of periodic solutions XII: Bifurcations and manifolds XIII: Poincaré sequences, homoclinic bifurcation, and chaos