A PERTURBATION-INCREMENTAL METHOD FOR STRONGLY NONLINEAR OSCILLATORS

A perturbation-incremental method is presented for the analysis of str ongly non-linear oscillators of the form double over dotx + g(x) = lam bda f(x, over dotx)over dotx, where g(x) and f(x, over dotx) are arbit rary non-linear functions of their arguments. The method is an extensi on of the perturbation-iterative method to the case where lambda is no t necessarily small. It incorporates salient features from both the pe rturbation method and the incremental method. Limit cycles of the osci llators can be calculated to any desired degree of accuracy. The stabi lity of the limit cycle is also discussed.