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In this paper, we analyze the period distribution of this map.
However, we analyzed the period distribution of the sequences generated by the Chebyshev polynomials over finite fields [21].
This paper extends these studies by developing efficient algorithmic procedures for calculating the busy period distribution of the main approximation models of Wilkinson [Wilkinson, R.I., 1956.
In this paper, we further analyze in detail the period distribution of the sequences generated by Chebyshev polynomials over the integer ring ZN when N is composite.
We apply our analytic prescription to observed binary and triple systems containing BSs, in particular the triple system S1082 in M67 which contains two BSs and the curiously bi-modal period distribution of the BS binaries in NGC 188.
Together with our previous results when N is a power of a prime [1,2], the period distribution of the cat map is characterized nearly completely for any integer N. Our results are also useful for evaluating the security of the cryptographic and steganographic algorithms based on the cat map as well as computing all unstable periodic orbits of the chaotic Arnold cat map.
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During this period, distributions of benthic and pelagic species showed dramatic northward shifts, especially on the western coasts of Greenland and Svalbard, and in the Barents Sea [193] [195] and reviewed by Drinkwater [191].
We found that in the mother machine, both the period distributions of 3n1 and 5n2 showed this characteristic, which reflects our cell-free findings of differential –ssrA tag dependent period length.
This review provided evidence-based estimates of the full incubation period distribution for each of these diseases, incorporating data from primary sources identified through the review.
We used the incubation period distribution to estimate the proportion of passengers who progressed to symptom onset in flight.
The median and variances of period distribution were analyzed by T-test for samples with unequal variances and F-test, respectively.
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