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

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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Year of publication:	2004
Authors:	Coraddu, M. ; Meloni, F. ; Mezzorani, G. ; Tonelli, R.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 340.2004, 1, p. 234-239
Publisher:	Elsevier
Subject:	Nonextensive statistical mechanics \| Entropy \| Power law \| Logistic map \| Chaos

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010590634