Abstract
In this work we present some mathematical methods to obtain uniform estimates for attractors and to study the synchronization of two similar dynamical systems. We give sufficient conditions to control the coupling devices in order to accomplish the synchronization, even when each of the systems moves chaotically. Some examples that include systems of coupled lasers and coupled Lorenz equations are discussed.
†Research partially supported by Funda~ao de Amparo B. Pesquisa do Estado de Sio Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Cientifico e Tecnol6gic0, (CNPq), Brazil.
†Research partially supported by Funda~ao de Amparo B. Pesquisa do Estado de Sio Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Cientifico e Tecnol6gic0, (CNPq), Brazil.
Notes
†Research partially supported by Funda~ao de Amparo B. Pesquisa do Estado de Sio Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Cientifico e Tecnol6gic0, (CNPq), Brazil.