Synchronization and control in small networks of chaotic electronic circuits

In this paper, a very recent chaos control method that stabilizes chaotic systems by introducing small perturbations in the system variables [l] and a new synchronization method that reproduces the driving signal with a single connection [2] are simultaneously applied t o small networks of chaotic electronic circuits ( the Chua circuits [3]) . \ire stabilize a Chua circuit (which acts as drive of the cascade) by applying the chaos control method in [l]. 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 sirnulations and, on the other hand, the behavior of the real network of circuits. In particular, we show that all t he results obtained from both sources agree. Finally, some interesting applications are discussed.