Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points

A. Robledo

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 449-460

Abstract: Recently, in [Phys. Rev. Lett. 95 (2005) 140601], Grassberger addresses the interesting issue of the applicability of q-statistics to the renowned Feigenbaum attractor. He concludes there is no genuine connection between the dynamics at the critical attractor and the generalized statistics and argues against its usefulness and correctness. Yet, several points are not in line with our current knowledge, nor are his interpretations. We refer here only to the dynamics on the attractor to point out that a correct reading of recent developments invalidates his basic claim.

Keywords: Transition to chaos; Feigenbaum attractor; q-Statistics; q-Phase transitions (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:449-460

DOI: 10.1016/j.physa.2006.06.003

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