By combining the generalized Pad, approximation method and the well-known Lindstedt-Poincar, method, a novel technique, referred to as the generalized Pad,-Lindstedt-Poincar, method, is proposed for determining homo-/heteroclinic orbits of nonlinear autonomous oscillators. First, the classical Pad, approximation method is generalized. According to this generalization, the numerator and denominator of the Pad, approximant are extended from polynomial functions to a series composed of any kind of continuous function, which means that the generalized Pad, approximant is not limited to some certai...