Linked periodic orbits of disc homeomorphisms

2022.11.23（星期三）下午14:30-16:30

点：数学院南楼N533

要：In 1990, Gambaudo introduced the notion of linking of two invariant sets of a surface self-map. Most of the known results of linked periodic orbits are about an orbit linked with a fixed point. In this talk, based on the forcing relation of braids, we present a method for finding periodic orbits which are linked with a given periodic orbit of an orientation-preserving homeomorphism of the disc. New examples are provided.