2017
Том 69
№ 9

All Issues

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

Klevchuk I. I.

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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.

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.

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