Circular-like maps: sensitivity to the initial conditions, multifractality and nonextensivity
Articles > Article · 1999
Authors: Uğur TIRNAKLI, C TSALLIS, ML LYRA
The European Physical Journal B, Journal Indexed in SCI Expanded, International, WoS, 1999, vol 11, pp 309-309
Summary
We generalize herein the usual circular map by considering inflexions of arbitrary power $z$, and verify that the scaling law which has been recently proposed [Lyra and Tsallis, Phys.Rev.Lett. 80 (1998) 53] holds for a large range of $z$. Since, for this family of maps, the Hausdorff dimension $d_f$ equals unity for all $z$ values in contrast with the nonextensivity parameter $q$ which does depend on $z$, it becomes clear that $d_f$ plays no major role in the sensitivity to the initial conditions.