The lives of period-3 orbits for some quadratic polynomials
  In this note, we consider the following two families of quadratic polynomials $S_{a,c}(x) = a - cx^2$ and $T_{a,c}(x) = a - c(1 + x^2)$ and show that their respective period-3 orbits live very different lives. 
Bau-Sen Du