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- W2470188900 abstract "We address the question of representativeness of a single long unstable periodic orbit for properties of the chaotic attractor it is embedded in. Y. Saiki and M. Yamada [Phys. Rev. E 79, 015201(R) (2009)] have recently suggested the hypothesis that there exist a limit distribution of averages over unstable periodic orbits with given number of loops, N, which is not a Dirac delta-function for infinitely long orbits. In this paper we show that the limit distribution is actually a delta-function and standard deviations decay as 1/sqrt(N) for large enough N." @default.
- W2470188900 created "2016-07-22" @default.
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- W2470188900 date "2012-08-08" @default.
- W2470188900 modified "2023-09-27" @default.
- W2470188900 title "Limit Distribution of Averages over Unstable Periodic Orbits Forming Chaotic Attractor" @default.
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