Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay

  • I. I. Klevchuk

Abstract

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.
Published
25.04.2002
How to Cite
KlevchukI. I. “Homoclinic Points for a Singularly Perturbed System of Differential Equations With Delay”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 4, Apr. 2002, pp. 563-7, https://umj.imath.kiev.ua/index.php/umj/article/view/4093.
Section
Short communications