A Revised Generalized Kolmogorov-Sinai-like Entropy and Markov Shifts

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dc.creatorLiu, Qiang
dc.creatorPeng, Shou-Li
dc.date2007-04-21
dc.date.accessioned2026-07-07T07:57:45Z
dc.date.available2026-07-07T07:57:45Z
dc.descriptionThe Kolmogorov-Sinai entropy in the sense of Tsallis under Bernoulli shifts was obtained by Meson and Vericat [J. Math. Phys. 37, 4480(1996)]. In this paper, we propose a revised generalized Kolmogorov-Sinai-q entropy under Markov shifts. The form of this generalized entropy with factor q is nonextensive. The new generalized entropy contains the classical Kolmogorov-Sinai entropy and Renyi entropy as well as Bernoulli shifts as special cases. Applying the generalized entropy we discuss its approximate behavior qualitatively, the entropy rate and the sensitive value q^* of the nonextensive parameter q, which may exit in the interval (-2,2) nearby where the generalized entropy return to the classical K-S entropy.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0704.2814
dc.identifierhttp://arxiv.org/abs/0704.2814
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127763
dc.subjectChaotic Dynamics
dc.titleA Revised Generalized Kolmogorov-Sinai-like Entropy and Markov Shifts
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