Synchronization slaved by partial-states in lattices of non-autonomous coupled Lorenz equation☆

Abstract In this paper, we consider the synchronization between any two solutions and any two components of solutions for lattices of partial-stated coupled non-autonomous identical Lorenz equation. We give the boundedness of solutions with an absorbing set. Then, we show that the synchronization of solutions can be slaved by the coefficient in x or y -component. The eigenvalues of coupled operators play an essential role.