International Journal of Bifurcation and Chaos · 2007 · 44 citations · 15 references
Natural SciencesComputer ScienceMathematicsDynamical SystemsInformation TheoryProbability TheoryChaos TheoryEntropyRandom Number GenerationChaotic AttractorsEntropy EstimationMeasure-theoretic EntropyNonlinearityRandom Bit Generation
The purpose of this paper is to investigate the effect of the number of scrolls on the measure-theoretic entropy of a random bit generator (RBG) based on multiscroll chaotic attractor. The binary output of the proposed RBG is obtained by sampling the output of the generalized nonlinearity of multiscroll chaotic attractor circuit which is in fact a noninvertible function. Our numeric simulations show that the entropy of the proposed random bit generator is increased by increasing the number of scrolls.
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The analysis of observed chaotic data in physical systems
Henry D. I. Abarbanel, Reggie Brown, John J. Sidorowich et al. · Reviews of Modern Physics · 1993 · 1.9K citations