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.
Ronald E Mickens
Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods [PDF ebook]
Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods [PDF ebook]
Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
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Language English ● Format PDF ● Pages 260 ● ISBN 9789814291668 ● File size 4.3 MB ● Publisher World Scientific Publishing Company ● City Singapore ● Country SG ● Published 2010 ● Downloadable 24 months ● Currency EUR ● ID 2805047 ● Copy protection Adobe DRM
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