He's parameter-expanding methods for strongly nonlinear oscillators

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摘要

Ji-Huan He's work on asymptotic techniques is briefly reviewed, and his parameter-expanding methods including modified Lindstedt–Poincare method and bookkeeping parameter method are discussed in detail. Some remarkable virtues of the methods are exploited, and their applications are illustrated.

论文关键词:37L65,47H14,47J25,Perturbation method,Nonlinear oscillator,Modified Lindstedt–Poincare method,Bookkeeping parameter method

论文评审过程:Received 20 April 2006, Revised 5 May 2006, Available online 1 September 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.07.020