Homoclinic Points for a Singularly Perturbed System of Differential Equations with Delay
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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.
KeywordsDifferential Equation Integral Manifold Singularly Perturb Homoclinic Point Perturb System
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