TRULY NONLINEAR OSCILLATIONS
Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
by Ronald E Mickens (Clark Atlanta University, USA)
Table of Contents (101k)
Preface (77k)
Chapter 1: Background and General Comments (255k)
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 these technique to the field of nonlinear oscillations.
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