Modified method for synchronizing and cascading chaotic systems

Abstract

In this contribution a modification of the Pecora-Carroll [Phys. Rev. Lett. 64, 821 (1990)] one-way (or drive-response) synchronization method is suggested, such that both drive and response have the same dimensionality. As a result, it is possible reproduce the driving signal with a single connection, increasing, thus, the number of potential connections of a given system. The main features of the method presented in this work are discussed with an application to the R\"ossler and Lorenz models [O. E. R\"ossler, Phys. Lett. A 57, 397 (1976); E. N. Lorenz, J. Atmos. Sci. 20, 130 (1963)], including the possibility of designing different chaotic receivers to be used in the field of secure communications and the setup of an array of chaotic units in which several possible connections are allowed for.