  We give a hierarchy of many-parameter families of maps of the interval [0,1]
with an invariant measure and using the measure, we calculate Kolmogorov--Sinai
entropy of these maps analytically. In contrary to the usual one-dimensional
maps these maps do not possess period doubling or period-n-tupling cascade
bifurcation to chaos, but they have single fixed point attractor at certain
region of parameters space, where they bifurcate directly to chaos without
having period-n-tupling scenario exactly at certain values of the parameters.
