Global stability analysis of two nonautonomous generalized Lorenz systems with time-varying parameters

This paper provides a broader perspective of the extended Lorenz-84 and the high-order Lorenz–Stenflo systems. This perspective allows influential parameters to vary with time. Based on these time-varying parameters, we derive sufficient conditions for several global dynamical properties, including attractivity under vanishing forcing terms, as well as asymptotic and (uniform) exponential stability of the systems in their unforced forms. These ubiquitous features are analyzed and discussed by numerical simulations.