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Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods Hardback - 2010
by Ronald E. Mickens
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From the publisher
From the jacket flap
This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "truly nonlinear" (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods.
The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply this technique to the field of nonlinear oscillations.
Details
- Title Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
- Author Ronald E. Mickens
- Binding Hardback
- Pages 260
- Volumes 1
- Language ENG
- Publisher World Scientific Publishing Company
- Publication date 2010-04-30
- Features Bibliography, Index, Table of Contents
- ISBN 9789814291651 / 981429165X
- Weight 1.1 lbs (0.50 kg)
- Dimensions 9.1 x 6.1 x 0.8 in (23.11 x 15.49 x 2.03 cm)
- Category Mathematics
- Library of Congress Catalogue Number 2009038794
- Dewey Decimal Code 511.4
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TRULY NONLINEAR OSCILLATIONS : PARAMETER EXPANSIONS
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TRULY NONLINEAR OSCILLATIONS: HARMONIC BALANCE, PARAMETER EXPANSIONS, ITERATION, AND AVERAGING METHODS
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