Minimal dynamical system with given $D$-function and topological entropy

• Datum: 1993
• Hauptverfasser: Ye, Xiang dong, Е, Сян Донг
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5811
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The $D$-function is a new topological invariant introduced by the author in [3] to classify the minimal dynamical system and to generalize Sharkovskii's theorem on the coexistence of periodic orbits. We show that the $D$-function and the topological entropy are independent.