
<ns0:uwmetadata xmlns:ns0="http://phaidra.univie.ac.at/XML/metadata/V1.0" xmlns:ns1="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0" xmlns:ns10="http://phaidra.univie.ac.at/XML/metadata/provenience/V1.0" xmlns:ns11="http://phaidra.univie.ac.at/XML/metadata/provenience/V1.0/entity" xmlns:ns12="http://phaidra.univie.ac.at/XML/metadata/digitalbook/V1.0" xmlns:ns13="http://phaidra.univie.ac.at/XML/metadata/etheses/V1.0" xmlns:ns2="http://phaidra.univie.ac.at/XML/metadata/extended/V1.0" xmlns:ns3="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/entity" xmlns:ns4="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/requirement" xmlns:ns5="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/educational" xmlns:ns6="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/annotation" xmlns:ns7="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/classification" xmlns:ns8="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/organization" xmlns:ns9="http://phaidra.univie.ac.at/XML/metadata/histkult/V1.0">
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    <ns1:title language="en">Testing Conformity with Benford&apos;s Law in Chaotic Dynamical Systems</ns1:title>
    <ns1:language>en</ns1:language>
    <ns1:description language="en">Sažetak
Benford&apos;s law, also known as the first digit law, gives a monotonically decreasing distribution of the first digit in the considered data set. Contrary to our intuition, which suggests that the first digit would appear with a uniform distribution, this is decreasingly logarithmic law, where the digit 1 is appearing with 30% chance and the digit 9 is appearing with 4.58% chance. The purpose of this paper is to consider whether the Benford&apos;s law can be applied on different dynamical systems (Lorenz, Hénon and Rössler). As a procedure, we analyze the frequency of the first and the second digit of the coordinates of the trajectories generated by these dynamical systems. We conclude that some trajectories follow Benford&apos;s law, while others do not, and some results depend of the choice of the parameters of the model. As the main point is that natural data generally follow Benford&apos;s law, we have shown that for some dynamical systems the distinction between the trajectories that follow Benford&apos;s law and that do not follow Benford&apos;s aw may be very small which may require much more careful consideration.</ns1:description>
    <ns1:keyword language="en">Benford&apos;s law; dynamical systems; manipulations</ns1:keyword>
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      <ns2:identifier>10.17559/TV-20241112002125</ns2:identifier>
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    <ns12:name_magazine language="en">Technical Gazette = Tehnički vjesnik</ns12:name_magazine>
    <ns12:volume>32</ns12:volume>
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