Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points
arXiv:cond-mat/0606334 · doi:10.1016/j.physa.2006.06.003
Abstract
Recently, in Phys. Rev. Lett. 95, 140601 (2005), P. 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.
To be published in Physica A
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- Some Open Points in Nonextensive Statistical Mechanics
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- Weak Chaos from Tsallis Entropy
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- Labyrinthine pathways towards supercycle attractors in unimodal maps
- Quasiperiodic graphs at the onset of chaos
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