We consider quasiperiodic positive definite Lagrangian systems and establish the existence of one or more solutions homoclinic (namely asymptotic as $t\to\pm\infty$) to a quasiperiodic solution. These results are obtained by means of a variational approach. An application is carried out to quasiperiodically perturbed Lagrangian systems.
"Homoclinic solutions of quasiperiodic Lagrangian systems." Differential Integral Equations 8 (7) 1733 - 1760, 1995.