25 citations · 38 across the 2 of their papers we have counts for
3 papers
physics.data-an2013★ 13 cited
Renormalized entropy for one dimensional discrete maps: periodic and quasi-periodic route to chaos and their robustness
O. Afsar, G. B. Bagci, U. Tirnakli
We apply renormalized entropy as a complexity measure to the logistic and sine-circle maps. In the case of logistic map, renormalized entropy decreases (increases) until the accumu…
nlin.CD2012★ 25 cited
Generalized Huberman-Rudnick scaling law and robustness of -Gaussian probability distributions
Ozgur Afsar, Ugur Tirnakli
We generalize Huberman-Rudnick universal scaling law for all periodic windows of the logistic map and show the robustness of -Gaussian probability distributions in the vicinity…
cond-mat.stat-mech2010
Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos
Ozgur Afsar, Ugur Tirnakli
We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergo…