Bifurcations of periodic solutions from homoclinic ones are investigated for certain singularly perturbed systems of autonomous ordinary differential equations in R-4. Results are applied to discretization of travelling waves of certain p.d.e.
This is a pre-print. The definitive version: ROTHOS, V.M., 2002. Bifurcations of periodics from homoclinics in singular ODE: Applications to discretizations of travelling waves of PDE. Communications on pure and applied analysis, 1(4), pp.475-483.