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

✍ Scribed by M. Coraddu; F. Meloni; G. Mezzorani; R. Tonelli

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 538 KB
Volume: 340
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2004.04.012

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✦ Synopsis

We extend existing studies of weakly sensitive points within the framework of Tsallis nonextensive thermodynamics to include weakly insensitive points at the edge of chaos. Analyzing tangent points of the logistic map we have veriÿed that the generalized entropy with suitable entropic index q correctly describes the approach to the attractor.

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