| Discrete dynamical systems generated by the iteration process for one-dimensional non-invertible piecewise monotone maps are considered. We study two classes of maps on the unit interval : the maps from the first one (called unimodal maps) are continuous and have a single maximum, while the maps from the second one (called Lorenz) have a single point of discontinuity and are increasing on their monotonicity subintervals. By calculating the topological entropy and the rotation intervals of the maps we explain many features in chaotic dynamical behavior of their trajectories. |