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Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points

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  • Robledo, A.

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.

Suggested Citation

  • Robledo, A., 2006. "Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 449-460.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:449-460
    DOI: 10.1016/j.physa.2006.06.003
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    Cited by:

    1. Tsallis, Constantino & Borges, Ernesto P., 2023. "Time evolution of nonadditive entropies: The logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Lukes-Gerakopoulos, G. & Voglis, N. & Efthymiopoulos, C., 2008. "The production of Tsallis entropy in the limit of weak chaos and a new indicator of chaoticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1907-1925.

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