  This study proposes a pseudo random number generator of q-Gaussian random
variables for a range of q values, -infinity < q < 3, based on deterministic
chaotic map dynamics. Our method consists of chaotic maps on the unit circle
and map dynamics based on the piecewise linear map. We perform the q-Gaussian
random number generator for several values of q and conduct both
Kolmogorov-Smirnov (KS) and Anderson-Darling (AD) tests. The q-Gaussian samples
generated by our proposed method pass the KS test at more than 5% significance
level for values of q ranging from -1.0 to 2.7, while they pass the AD test at
more than 5% significance level for q ranging from -1 to 2.4.
