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

• Дата: 2002
• Автори: Klevchuk, I. I., Клевчук, І. І.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4093
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...