Key points are not available for this paper at this time.
Power-law sensitivity to the initial conditions at the edge of chaos provides a natural relation between the scaling properties of the dynamics attractor and its degree of nonextensivity within the generalized statistics recently introduced by one of the authors (C. T. ) and characterized by the entropic index q. We show that general scaling arguments imply that 1/ (1-q) 0ex{0ex}=0ex{0ex}1/₌₈₍-1/₌₀ₗ, where ₌₈₍ and ₌₀ₗ are the extremes of the multifractal singularity spectrum f () of the attractor. This relation is numerically verified in standard D0ex{0ex}=0ex{0ex}1 dissipative maps.
Lyra et al. (Mon,) studied this question.