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

M. Coraddu·F. Meloni·G. Mezzorani·R. Tonelli
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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.

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M. Coraddu, F. Meloni, G. Mezzorani, R. Tonelli. 2004-09-08. Weak insensitivity to initial conditions at the edge of chaos in the logistic map. https://doi.org/10.1016/j.physa.2004.04.012

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