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

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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.

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Authors and Affiliations

  1. Chernivtsi University, Chernivtsi

    I. I. Klevchuk

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  1. I. I. Klevchuk
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Klevchuk, I.I. Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay. Ukrainian Mathematical Journal 54, 693–699 (2002). https://doi.org/10.1023/A:1021047730635

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  • DOI: https://doi.org/10.1023/A:1021047730635

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