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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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6 pages, 3 figures

Scientific paper

10.1016/j.physa.2004.04.012

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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