Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems
- Research Institute for Mathematical Sciences, Kyoto University, 606-8502 Kyoto, Japan
Abstract. Unstable periodic orbit (UPO) recently has become a keyword in analyzing complex phenomena in geophysical fluid dynamics and space physics. In this paper, sets of UPOs in low dimensional maps are theoretically or systematically found, and time averaged properties along UPOs are studied, in relation to those of chaotic orbits.