In this study, we investigate the synchronization phenomena of coupled Wien bridge oscillators. The oscillator is characterized by a voltage controlled resistor with saturation. We use linear resistance to couple the oscillators. Two different kinds of coupling techniques, called current and voltage connections are proposed and they show completely opposite mode of synchronized oscillations. The dynamics of the two circuits are also derived to study the amplitude and phase dynamics of the synchronized state. The current connection has a simple resistive effect but stable phase mode is opposite to that of the voltage connection. The voltage connection has the coupling effect which is a combination of resistive and reactive couplings. Coupled three oscillators with current and voltage connection are also studied and stable tri-phase and in-phase synchronizations are observed, respectively. Averaging method is used to investigate the stability of synchronized mode of oscillations. Experimental results are also stated which agree well with the theory.

In this letter we propose a stabilizing method of phase control for resistively coupled oscillator networks. To demonstrate the effect of the control, we consider the coupled oscillator system containing only voltage type of connections. A state feedback technique to resistor sub-network is used to control the phase of synchronized oscillation. The technique is applied to two and three coupled oscillator cases. Finally we present experimental results, which agree well with the theory.