Nonlinear ordinary differential equations : an introduction for scientists and engineers

Includes bibliographical references and index.

"This is a thoroughly updated and expanded fourth edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. The topics covered include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. The text encourages an early appreciation of the use of qualitative methods to reveal behaviour described by intractable differential equations, and the theory is illustrated by numerous diagrams and fully-worked examples. This edition includes more than 500 end-of-chapter problems, and routine self-test questions and answers are also provided. A further resource is provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions (OUP, 2007)." "Both texts cover a wide variety of applications whilst keeping mathematical prerequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences."--BOOK JACKET.