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Time--Evolving Statistics of Chaotic Orbits of Conservative Maps in the Context of the Central Limit Theorem
time Chaotic Orbits Conservative Maps Central Limit Theorem Statistics
2011/7/6
We study chaotic orbits of conservative low--dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of $N$ iterates in the large $N$ limit exhi...
Comment on“Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems”
Time-averaged properties chaotic orbits unstable periodic orbits
2010/4/7
The recent paper claims that mean characteristics of chaotic orbits differ from the corresponding values averaged over the set of unstable periodic orbits, embedded in the chaotic attractor. We demons...
Time averaged properties along unstable periodic orbits and chaotic orbits in two map systems
Time averaged properties unstable periodic orbits chaotic orbits map systems
2009/11/2
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 theo...