2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187952The dynamical system approach has recently acquired great importance in the investigation on higher order theories of gravity. In this talk I review the main results and I give brief comments on the perspectives for further developments.6 pages, 1 figure, 2 tables, talk given at IRGAC 2006, July 2006General Relativity and Quantum Cosmologytext