Author(s)

A. Iglesias

Abstract

Synchronization and control in small networks of chaotic electronic circuits A. Iglesias Dept. of Applied Mathematics and Computational Sciences, University of Cantabria, Spain Abstract In this paper, a very recent chaos control method that stabilizes chaotic systems by introducing small perturbations in the system variables [1] and a new synchronization method that reproduces the driving signal with a single connection [2] are simultaneously applied to small networks of chaotic electronic circuits (the Chua circuits [3]). We stabilize a Chua circuit (which acts as drive of the cascade) by applying the chaos control method in [1], and its regular behavior induces, by synchronizing with other circuits of the cascade, a regular behavior in the network. The paper explores the interaction between, on one hand, the analytical results and the numerical simulations and, on the other hand, the behavior of the real network of circuits. In particular, we show that all the results obtain

Keywords