Truly Nonlinear Oscillations: Parameter Expansions Contributor(s): Ronald E Mickens (Author) |
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ISBN: 981429165X ISBN-13: 9789814291651 Publisher: World Scientific Publishing Company OUR PRICE: $108.30 Product Type: Hardcover - Other Formats Published: April 2010 |
Additional Information |
BISAC Categories: - Mathematics | Discrete Mathematics - Mathematics | Differential Equations - General - Technology & Engineering | Mechanical |
Dewey: 511.4 |
LCCN: 2009038794 |
Physical Information: 0.8" H x 6.1" W x 9.1" (1.1 lbs) 260 pages |
Descriptions, Reviews, Etc. |
Publisher 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 technique to the field of nonlinear oscillations. |