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

Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods

Ronald E Mickens (Autor)

eBook Download: PDF

2010
260 Seiten
World Scientific Publishing Company (Verlag)
978-981-4291-66-8 (ISBN)

Infos

This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of âtruly nonlinearâ (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.

Produkt-Details

• Erscheint lt. Verlag: 18.1.2010
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 981-4291-66-8 / 9814291668
• ISBN-13: 978-981-4291-66-8 / 9789814291668