Articles | Volume 15, issue 4
Nonlin. Processes Geophys., 15, 675–680, 2008
https://doi.org/10.5194/npg-15-675-2008

Special issue: Nonlinear Processes in the Space Environment

Nonlin. Processes Geophys., 15, 675–680, 2008
https://doi.org/10.5194/npg-15-675-2008

  07 Aug 2008

07 Aug 2008

Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems

Y. Saiki and M. Yamada Y. Saiki and M. Yamada
  • 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.