Characterizing the Effects of Randomness in the Tent Map

Abstract

When the parameter of a map is chosen, at each iteration step, following a certain rule, is called Parametric Perturbation. If the parameters are drawn from a distribution, then this perturbation is called Random Parametric Perturbation. Studies have already been done on both Periodic and Random perturbations of a continuous map. Here, we have applied this technique on a tent map, which is a piecewise continuous map, and obtained numerical results.

10 pages, 13 figures