Dynamics of neighborhoods of points under a continuous mapping of an interval

• Дата: 2005
• Автори: Romanenko, Ye. Yu., Романенко, Е. Ю.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3705
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let $\{ I, f Z^{+} \}$ be a dynamical system induced by the continuous map $f$ of a closed bounded interval $I$ into itself. In order to describe the dynamics of neighborhoods of points unstable under $f$, we suggest a notion of $\varepsilon \omega - {\rm set} \omega_{f, \varepsilon}(x)$ of a point...