Truly nonlinear oscillations
Subtitle: harmonic balance, parameter expansions, iteration, and averaging methods
By: by Ronald E. Mickens.
Publisher: World Scientific
Published: 2010
Place of publication: New Jersey
Language: eng
Number of pages: 238
ISBN-13: 9789814291651
Subjects: Approximation theory; Nonlinear oscillations
Description: "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 techniques to the field of nonlinear oscillations."--Jacket.
Notes: Includes bibliographical references and index.