The production rate of the coarse grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection ?

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dc.creatorFalcioni, Massimo
dc.creatorPalatella, Luigi
dc.creatorVulpiani, Angelo
dc.date2004-07-26
dc.date.accessioned2026-07-07T05:35:50Z
dc.date.available2026-07-07T05:35:50Z
dc.descriptionWe discuss the connection between the Kolmogorov-Sinai entropy, $h_{KS}$, and the production rate of the coarse grained Gibbs entropy, $r_G$. Detailed numerical computations show that the (often accepted) identification of the two quantities does not hold in systems with intermittent behavior and/or very different characteristic times and in systems presenting pseudo-chaos. The basic reason of this fact is in the asymptotic (with respect to time) nature of $h_{KS}$, while $r_G$ is a quantity related to short time features of a system.
dc.description8 pages, 5 figures Submitted to PRE
dc.identifierhttps://arxiv.org/abs/nlin/0407056
dc.identifierhttp://arxiv.org/abs/nlin/0407056
dc.identifierPhys. Rev. E 71, 016118 (2005) (8 pages)
dc.identifierdoi:10.1103/PhysRevE.71.016118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80787
dc.subjectChaotic Dynamics
dc.titleThe production rate of the coarse grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection ?
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