Dependent switched capacitor chaos generator and its synchronization

Abstract

This paper discusses a circuit family including a dependent switched capacitor (DSC). The DSC function is instantaneously short of one capacitor at the moment when its voltage reaches a threshold. The chaos generation can be guaranteed theoretically. We also consider a master-slave system. If there does not exist a homoclinic orbit in the master chaos attractor, it exhibits either in-phase or inverse-phase synchronization of chaos. If there exists a homoclinic orbit, the synchronization is broken down. We explain the synchronization mechanism and evaluate its robustness theoretically. The theoretical results have been verified in laboratory experiments.