Weak insensitivity to initial conditions at the edge of chaos in the logistic map

M. Coraddu, F. Meloni, G. Mezzorani and R. Tonelli

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 234-239

Abstract: We extend existing studies of weakly sensitive points within the framework of Tsallis non-extensive thermodynamics to include weakly insensitive points at the edge of chaos. Analyzing tangent points of the logistic map we have verified that the generalized entropy with suitable entropic index q correctly describes the approach to the attractor.

Keywords: Nonextensive statistical mechanics; Entropy; Power law; Logistic map; Chaos (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:234-239

DOI: 10.1016/j.physa.2004.04.012

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