Weak insensitivity to initial conditions at the edge of chaos in the logistic map
arXiv:cond-mat/0403360 · doi:10.1016/j.physa.2004.04.012
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.
6 pages, 3 figures