Analog Implementation of 1-D Discrete Map

In recent years, chaotic dynamics have been widely applied in encryption, secure communications, and pseudo- random number generators. Due to its simplicity, 1-D maps are a promising tool for the mentioned applications. This work presents the analog electronic implementation of the discrete dynamic system known as the tent map. In the design of the electronic circuit, passive and active components have been considered, achieving experimental results from the tent mapping in correspondence with the results of its numerical simulations. As in the theoretical case, the analog implementation of the tent map presents chaos, fixed points, intermittency, and period doubling. The proposed approach is simple, uses off-the-shelf components, and can be built by undergraduate students.