Optimal Homotopy Asymptotic Method for an Anharmonic Oscillator: Application to the Chen System

The aim of our work is to obtain the analytic solutions for a new nonlinear anharmonic oscillator by means Optimal Homotopy Asymptotic Method (OHAM), using only one iteration. accuracy obtained results comes from comparison with corresponding numerical ones specified physical parameters. Moreover, OHAM method has greater degree flexibility than an iterative as presented in this paper. Based on these results, analytically Chen system were special case (just first integral). chaotic behaviors excluded here. provided are usefully many engineering applications.