Showing papers by "Chung-Kang Peng published in 1990"
TL;DR: How well the logistic map in its chaotic regime can be used as quasirandom number generator by calculating pertinent properties of a well-known random process: invasion percolation is studied.
Abstract: What is the difference between randomness and chaos ? Although one can define randomness and one can define chaos, one cannot easily assess the difference in a practical situation. Here we compare the results of these two antipodal approaches on a specific example. Specifically, we study how well the logistic map in its chaotic regime can be used as quasirandom number generator by calculating pertinent properties of a well-known random process: invasion percolation. Only if \ensuremath{\lambda}g${\ensuremath{\lambda}}_{1}^{\mathrm{*}}$ (the first reverse bifurcation point) is a smooth extrapolation in system size possible, and percolation exponents are retrieved. If \ensuremath{\lambda}\ensuremath{
e}1, a sequential filling of the lattice with the random numbers generates a measurable anisotropy in the growth sequence of the clusters, due to short-range correlations.
10 citations