Approximate analytic solutions for singular non-linear oscillators

摘要: Mickens (1981, 1984) has considered analytic techniques for obtaining approximate solutions to one-dimensional nonlinear oscillatory systems x(double-dot) + x = lambda f(x, x/dot/, lambda) where is a small positive parameter and f polynomial function of its arguments. However, in certain cases there interest the analysis physical which singular finite values or x(dot). The present investigation concerned with use existing schemes obtain differential equations.