We present a numerical study of control of chaos in a model of a multimode Nd:YAG laser using periodic perturbations of accessible control parameters. We show that a small modulation of either the losses or the pump can eliminate chaos or make the system even more chaotic. Depending on the parameters of the perturbation, two qualitatively diierent periodic outputs can be achieved.

In this paper, a delayed physiological control system is investigated. The sufficient conditions for stability of positive equilibrium and existence of local Hopf bifurcation are derived. Furthermore, global existence of periodic solutions is established by using the global Hopf bifurcation theory. Finally, numerical examples are given to support the theoretical analysis. Keywords—Physiological...