The synchronization of chaotic systems has received a great deal of attention. However, most of the literature has focused on systems that possess invariant manifolds that persist as the coupling is varied. In this paper, we describe the process whereby synchronization is lost in systems of nonidentical coupled chaotic oscillators without special symmetries. We qualitatively and quantitatively analyze such systems in terms of the evolution of the unstable periodic orbit structure. Our results are illustrated with data from physical experiments.
Chubb, Jennifer; Barreto, Ernest; So, Paul; and Gluckman, Bruce J., "The Breakdown of Synchronization in Systems of Non-identical Chaotic Oscillators: Theory and Experiment" (2001). Mathematics. 1.