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

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

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Cited by in corpus (4)

• Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points
• Temporal scaling at Feigenbaum points and non-extensive thermodynamics
• Numerical Study of the Oscillatory Convergence to the Attractor at the Edge of Chaos
• Convergence to the Critical Attractor at Infinite and Tangent Bifurcation Points