Synchronization of coupled augmented Lorenz oscillators with parameter mismatch

Abstract

We have recently developed a chaotic gas turbine, the rotational motion of which might simulate the random reversals of large-scale circulation in turbulent Rayleigh-Bénard convection. The nondimensionalized equations of motion of the turbine are represented as a star network of many Lorenz subsystems sharing dimensionless angular velocity as the central node, referred to as augmented Lorenz equations. In this study, we investigate the dynamical nature of the augmented Lorenz model, focusing on the chaotic synchronizability of coupled augmented Lorenz oscillators with parameter mismatch.