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

by Ronald E Mickens

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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 "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.
  • ISBN10 1282761900
  • ISBN13 9781282761902
  • Publish Date 1 January 2010
  • Publish Status Active
  • Out of Print 17 February 2015
  • Publish Country US
  • Imprint World Scientific Publishing Company
  • Format eBook
  • Pages 260
  • Language English