Truly Nonlinear Oscillations
by Ronald E Mickens
2020-09-14 17:54:31
Truly Nonlinear Oscillations
by Ronald E Mickens
2020-09-14 17:54:31
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 a...
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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.
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