Introduction to Perturbation TechniquesISBN: 978-0-471-31013-6
Paperback
533 pages
August 1993
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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.
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.