Introduction to perturbation techniques Nayfeh, Ali Hasan,
Material type: TextPublication details: New York, Wiley, 2004Description: 519PISBN:- 9788126546824
- 515.35 NAY
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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
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