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. © 2004 Elsevier B.V. All rights reserved.

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

MEZZORANI, GIUSEPPE;TONELLI, ROBERTO
2004

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. © 2004 Elsevier B.V. All rights reserved.
Chaos; Entropy; Logistic map; Nonextensive statistical mechanics; Power law; Mathematical Physics; Statistical and Nonlinear Physics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/13018
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