Max-Min Approach to Nonlinear Oscillators

Ji-Huan He, Donghua University

Abstract

This paper suggests a novel method called max-min method. Maximal and minimal solution thresholds of a nonlinear problem can be easily found, and an approximate solution of the nonlinear equation can be easily deduced using He Chengtian’s interpolation, which has millennia history. Application of the method to nonlinear oscillators is systematically illustrated, illustrating examples show the present technology is very convenient and effective