Introduction to Perturbation Techniques
1. Auflage September 1993
XIV, 519 Seiten, Softcover
55 Abbildungen
Lehrbuch
ISBN:
978-3-527-41443-7
Wiley-VCH, Berlin
Jetzt kaufen
Preis: 152,00 €
Preis inkl. MwSt, zzgl. Versand
Euro-Preise für Wiley-VCH- und Ernst & Sohn-Titel sind nur für Deutschland gültig. In EU-Ländern gilt die lokale Mehrwertsteuer. Portokosten werden berechnet.
Weitere Versionen
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.
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.
