A new large deviation property for the Lempel-Ziv complexity is numerically studied by using a one-dimesional non-hyperbolic "modified Bernoulli map", where the transition between stationary and non-stationary chaos is clearly observed. We will show that the Lempel-Ziv complexity and its fluctuations obey the universal scaling laws, and that the Lempel-Ziv complexity has the L1-function property of the infinite ergodic theory. One of the most striking results is that the 1/f spectral process reveals the maximum diversity at the transition point from the stationary chaos to the non-stationary one.
|ジャーナル||Journal of Physics: Conference Series|
|出版ステータス||Published - 2006 3月 22|
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