Full cascades of simple periodic orbits on the interval

• Date: 1996
• Main Authors: López, V. Jiménez, Snoha, L., Лопез, В., Сноха, Л.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5185
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Any continuous interval map of type greater than 2∞ is shown to have what we call a full cascade of simple periodic orbits. This is used to prove that, for maps of any types, the existence of such a full cascade is equivalent to the existence of an infinite ω-limit set. For maps of type 2∞, this is...