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Analyzing Logistic Map Pseudorandom Number Generators for Periodicity Induced by Finite Precision Floating-Point Periodicity Induced by Finite Precision Floating-Point Representation Representation.md

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bibtex: @article{persohn2012analyzing,
  title={Analyzing logistic map pseudorandom number generators for periodicity induced by finite precision floating-point representation},
  author={Persohn, KJ and Povinelli, Richard J},
  journal={Chaos, Solitons \& Fractals},
  volume={45},
  number={3},
  pages={238--245},
  year={2012},
  publisher={Elsevier}
}
---

Analyzing Logistic Map Pseudorandom Number Generators for Periodicity Induced by Finite Precision Floating-Point Periodicity Induced by Finite Precision Floating-Point Representation Representation

Real number implementations in finite precision are detrimental to the periodicity of chaotic PRNGs. Ignoring this reality makes chaos-based PRNGs deceptively appealing for random applications. FPPC algorithm can comprehensively analyze the periodicity of truncated real number series generated by a recurrence relation. Using these results one can make informed decisions about the appropriate use of a chaotic PRNG with respect to its conventional counter-parts. The results revealed about the logistic map do not appear competitive with conventional PRNGs (p14)