Ukrainian Mathematical Journal

, Volume 54, Issue 4, pp 693–699 | Cite as

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

  • I. I. Klevchuk


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.


Differential Equation Integral Manifold Singularly Perturb Homoclinic Point Perturb System 
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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • I. I. Klevchuk
    • 1
  1. 1.Chernivtsi UniversityChernivtsi

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