Jungsoo Kang (Westfälische Wilhelms-Universität Münster, Germany)
Invariant global surfaces of section and symmetric periodic orbits
A global surface of section is a crucial tool to understand low dimensional dynamical systems. I will explain joint work with Urs Frauenfelder on the construction of global disk-like surfaces of section which are invariant under symmetries in reversible dynamical systems. Then the Poincaré return map on this obeys a reversibility condition and sees symmetric features of a reversible dynamical system. If time permits, I will explain how to find symmetric periodic orbits using the reversibility of the Poincaré return map.