Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay
We obtain a representation of the integral manifold of a system of singularly perturbed differential-difference equations with periodic right-hand side. We show that, under certain conditions imposed on the right-hand side, the Poincaré map for the perturbed system has a transversal homoclinic point.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 693-699.
Citation Example: Klevchuk I. I. Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 563-567.