Synchronization of non-identical chaotic systems: an exponential dichotomies approach

In most applications, the synchronization of systems evolving under a chaotic regime requires the construction of identical systems or subsystems. In practical applications, systems should be created so that they match as closely as possible. Moreover, in real devices parameters can fluctuate resulting in loss of synchronization. In this paper, we consider a master–slave system of ordinary differential equations which are not identical. Considering bounded solutions of the master equation, we use those as an input in the slave equation. By using exponential dichotomies techniques we establish conditions that ensure synchronization.