Introduction to perturbation techniques
Nayfeh, Ali Hasan,
- New York, Wiley, 2004
- 519P
Introduction Algebraic equations Integrals The Duffing equation The linear damped oscillator Self-excited oscillators Systems with quadratic and cubic nonlinearities General weakly nonlinear systems Forced oscillations of the Duffing equation Multifrequency excitations The Mathieu equation Boundary-layer problems Linear equations with variable coefficients Differential equations with a large parameter solvability conditions
Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises