Ebook: Nonlinear ordinary differential equations

This text has been especially written for advanced undergraduate students in mathematics, applied mathematics, engineering and, to a lesser extent, chemistry and physics. In writing the text, the author recognises and attempts to bridge the gap which exists between standard elementary courses on differential equations and advanced graduate courses on dynamical systems and chaotic motion. The text is concerned wih nonlinear differential equations and the use of perturbation methods to reveal the subtle effects that even small nonlinear terms can produce. The emphasis of the text is on stability, nonlinearity and perturbation methods