Chaos in periodically perturbed monopole plus quadrupole-like potentials

The motion of a particle subjected to simple inner (outer) periodic perturbations when it evolves around a center of attraction modeled by an inverse square law plus a quadrupole-like term is studied. The equations of motion are used to reduce the Melnikov method to the study of simple graphics. (C) 1998 Elsevier Science B.V.2424167171