On the implementation of the Poincaré–Lindstedt technique

The aim of this paper is to present a new algebraic processor which implements the basic algebra of modified quasipolynomials, including routines to compute the solution to a linear second-order differential equation presenting undetermined coefficients.The kernel of this algebraic system is a very useful tool for a generic implementation of the Poincaré–Lindstedt method to find periodic solutions in slightly perturbed systems.