2009
DOI: 10.1109/tcsi.2008.2003380
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Invariant Measures of Tunable Chaotic Sources: Robustness Analysis and Efficient Estimation

Abstract: In this paper, a theoretical approach for studying the robustness of the chaotic statistics of piecewise affine maps with respect to parameter perturbations is discussed. The approach is oriented toward the study of the effects that the nonidealities derived from the circuit implementation of these chaotic systems have on their dynamics. The ergodic behavior of these systems is discussed in detail, adopting the approach developed by Boyarsky and Gora, with particular reference to the family of sawtooth maps, a… Show more

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Cited by 23 publications
(28 citation statements)
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References 31 publications
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“…2, as far as the parameter B gets close to 2, the stationary pdf φ * for the Sawtooth map better approximates an uniform pdf. This result has a theoretical explanation in the robustness property that this system has with respect to parameter perturbations [4].…”
Section: Chaotic Generation Of Uniform Samplessupporting
confidence: 56%
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“…2, as far as the parameter B gets close to 2, the stationary pdf φ * for the Sawtooth map better approximates an uniform pdf. This result has a theoretical explanation in the robustness property that this system has with respect to parameter perturbations [4].…”
Section: Chaotic Generation Of Uniform Samplessupporting
confidence: 56%
“…In such case, the pdf φ * is not uniform, and only in few trivial cases it can be calculated analytically. Nevertheless, it can be always estimated with accurate numerical computations [4], [10]. As it can be observed in the first row of Fig.…”
Section: Chaotic Generation Of Uniform Samplesmentioning
confidence: 93%
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