
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/">
  <dc:subject xml:lang="eng">Benford&apos;s law; dynamical systems; manipulations</dc:subject>
  <dc:description xml:lang="eng">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.</dc:description>
  <dc:rights>http://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:format>application/pdf</dc:format>
  <dc:format>433902 bytes</dc:format>
  <dc:title xml:lang="eng">Testing Conformity with Benford&apos;s Law in Chaotic Dynamical Systems</dc:title>
  <dc:date>2025</dc:date>
  <dc:identifier>https://phaidrabg.bg.ac.rs/o:36251</dc:identifier>
  <dc:identifier>doi:10.17559/TV-20241112002125</dc:identifier>
  <dc:identifier>ISSN: 1330-3651</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:source>Technical Gazette = Tehnički vjesnik</dc:source>
  <dc:source>volume: 32</dc:source>
  <dc:source>number: 3</dc:source>
  <dc:source>startpage: 1032</dc:source>
  <dc:source>endpage: 1039</dc:source>
  <dc:creator id="https://orcid.org/0000-0002-4566-0147">Rajić, Vesna</dc:creator>
  <dc:creator id="https://orcid.org/0000-0001-5668-5297">Stanojević, Jelena</dc:creator>
  <dc:creator>Li, Wei</dc:creator>
  <dc:creator id="https://orcid.org/0000-0003-1043-5780">Trišković, Nataša</dc:creator>
  <dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>
