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• W2015351206 abstract "We consider nonequilibrium probabilistic dynamics in logisticlike maps x(t+1)=1-a|x(t)|(z), (z>1) at their chaos threshold: We first introduce many initial conditions within one among W>>1 intervals partitioning the phase space and focus on the unique value q(sen)<1 for which the entropic form S(q) identical with (1- summation operator Wp(q)(i))/(q-1) linearly increases with time. We then verify that S(q(sen))(t)-S(q(sen))( infinity ) vanishes like t(-1/[q(rel)(W)-1]) [q(rel)(W)>1]. We finally exhibit a new finite-size scaling, q(rel)( infinity )-q(rel)(W) proportional, variant W(-|q(sen)|). This establishes quantitatively, for the first time, a long pursued relation between sensitivity to the initial conditions and relaxation, concepts which play central roles in nonextensive statistical mechanics." @default.
• W2015351206 created "2016-06-24" @default.
• W2015351206 creator A5036010773 @default.
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• W2015351206 date "2002-12-05" @default.
• W2015351206 modified "2023-09-24" @default.
• W2015351206 title "Nonequilibrium Probabilistic Dynamics of the Logistic Map at the Edge of Chaos" @default.
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• W2015351206 doi "https://doi.org/10.1103/physrevlett.89.254103" @default.
• W2015351206 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/12484889" @default.
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