Circular-like Maps: Sensitivity to the Initial Conditions, Multifractality and Nonextensivity
Diğer yayınlar > Diğer · 1998
Yazarlar: Tirnakli, Ugur, Tsallis, Constantino, Lyra, Marcelo L.
Diğer, Uluslararası, 1998,
Özet
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.