聖塔非研究所

摘要 We introduce a new universality class of one dime

2009 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We introduce a new universality class of one dimensional unimodal dissipative maps. The new family, from now on referred to as the (z(1), z(2)) logarithmic map, corresponds to a generaliz…

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  • 類型:已發表論文
  • 日期:2009

摘要

We introduce a new universality class of one-dimensional unimodal dissipative maps. The new family, from now on referred to as the (z(1), z(2))-logarithmic map, corresponds to a generalization of the z- logistic map. The Feigenbaum-like constants of these maps are determined. It has been recently shown that the probability density of sums of iterates at the edge of 混沌 of the z-logistic map is numerically consistent with a q-Gaussian, the distribution which, under appropriate constraints, optimizes the nonadditive 熵 S-q. We focus here on the presently generalized maps to check whether they constitute a new universality class with regard to q-Gaussian 吸引子 distributions. We also study the generalized q-熵 production per unit time on the new unimodal dissipative maps, both for strong and weak c

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