Introduction to perturbation techniques
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Bibliographic Information
Introduction to perturbation techniques
Wiley-VCH, c2004
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Note
Bibliography: p. 501-505
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
Appendices.
Bibliography.
Index.
by "Nielsen BookData"