Martins, RogérioMorais, Gonçalo2016-04-142016-04-142015MARTINS, Rogério; MORAIS, Gonçalo - Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium. Kybernetika. ISSN. 0023-5954. Vol. 51, N.º 2 (2015), pp. 347-373.0023-5954http://hdl.handle.net/10400.21/5981An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.engcoupled oscillatorssynchronizationinvariant manifoldsjournal article