Exploring the dynamics of conjugate coupled Chua circuits: Simulations and experiments

Dynamics of two Chua circuits, mutually coupled via conjugate variables, have been explored both numerically and experimentally. When the two autonomous systems were placed in the oscillatory regime the conjugate coupling provoked suppression of oscillations (amplitude death) in both systems. In contrast, if the two autonomous systems were placed in quiescent (fixed-point) states, then the effect of conjugate coupling was to generate oscillatory behavior (rhythmogenesis) in both systems. These phenomena of amplitude death and rhythmogenesis were found to persist for identical as well as nonidentical systems. It was also realized that the dynamics of the coupled systems can be regulated efficiently by varying the magnitude of conjugate coupling.