Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay |
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Authors: | I I Klevchuk |
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Institution: | (1) Chernivtsi University, Chernivtsi |
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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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