Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems

• Дата: 2008
• Автори: Battelli, F., Palmer, K. J., Баттеллі, Ф., Палмер, К. Дж.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2008
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3135
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a singularly perturbed system depending on two parameters with two (possibly the same) normally hyperbolic center manifolds. We assume that the unperturbed system has an orbit that connects a hyperbolic fixed point on one center manifold to a hyperbolic fixed point on the other. Then we...