  In this work, the dynamics of a system of mutually coupled Generalized Lorenz
systems (GLS) is investigated. The state variables of two Lorenz oscillators
are coupled mutually via non-linear controls and synchronization is achieved
between the state variables. We find that by suitably controlling a parameter
having a bearing on the coupling coefficient between the two Lorenz
oscillators, the GLS, while preserving synchronization is rendered to a state
wherein chaotic nature of state variables is suppressed and state variables
exhibit oscillatory character. The suppression of chaos is verified by power
spectra, permutation entropy and Lyapunov exponent calculations. When operated
in chaotic domain, we show the possibility of transition from the state of
synchronization to the state of anti-synchronization.
