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In this paper, we utilize GDS systems as drive and response electrical models. GDS systems were analyzed for a chaos presence in [3]. We complete the analysis by constructing the full period-doubling bifurcation diagram to demonstrate that the drive system admits infinitely many unstable periodic solutions as well as sensitivity. However, this is only an auxiliary result. The main novelty of the present article with respect to the previous studies [3, 52, 53] is that we consider these systems which are coupled in a unidirectional way and prove that the chaos can be extended through couplings of GDS systems as well as in their arbitrary large collectives. This type of chaos extension may give benefits in further applications, for example, in economic lamps and flat TV screens [13, 14]. We suggest that our way of numerical analysis and special design of complexity can be further verified experimentally. It is worth noting that our approach is not generalized synchronization of chaos at all. This is demonstrated through the special method of auxiliary system approach [2, 8]. 

## Acknowledgments 

I. Rafatov acknowledges support by the Scientific and Technical Research Council of Turkey (TUBITAK), research grant 212T164. 

## Appendix: The chaos in the drive GDS system 

In this part, we will extend the results of [3] about the presence of chaos in GDS systems. In the article [3], only a finite number of period-doubling bifurcations were indicated. However, in the present study, we represent the occurrence of infinitely many period-doubling bifurcations by means of a bifurcation diagram and we definitely reveal the regions of regularity and chaoticity. 

The bifurcation diagram corresponding to the$_{U}$ coordinate of system (1.16)-(1.18) with the boundary conditions (1.17) is pictured in Figure 7. Here, U$_{t}$ is the bifurcation parameter. Supporting the results 

