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

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Ronald E Mickens (Clark Atlanta Univ, Usa)

Truly Nonlinear Oscillations

Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods

Ronald E Mickens (Clark Atlanta Univ, Usa)

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English

World Scientific Publishing Co Pte Ltd
19 January 2010

Discrete mathematics; Non-linear science

"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."

By: Ronald E Mickens (Clark Atlanta Univ Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Dimensions: Height: 231mm, Width: 155mm, Spine: 20mm
Weight: 499g
ISBN: 9789814291651
ISBN 10: 981429165X
Pages: 260
Publication Date: 19 January 2010
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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

"The book is self-contained and suitable for both classroom use and self-study The author has definitely succeeded in presenting a readable book useful to students and professionals who are concerned with the field of nonlinear oscillations. -- Mathematical Reviews ""Mathematical Reviews"""