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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
Article

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.

Keywords

Differential Equation Integral Manifold Singularly Perturb Homoclinic Point Perturb System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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