Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods

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.

List of contents

Background and General Comments; Establishing Periodicity; Harmonic Balance; Parameter Expansions; Iteration Methods; Averaging Methods; Comparative Analysis.

Product details

• Authors: Ronald E Mickens, Ronald E. Mickens, Ronald E Mickens
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 19.01.2010
• EAN: 9789814291651
• ISBN: 978-981-4291-65-1
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; TECHNOLOGY & ENGINEERING / Mechanical, MATHEMATICS / Differential Equations / General, MATHEMATICS / Discrete Mathematics, Discrete Mathematics, Nonlinear science