Bifurcation phenomena in Wien-bridge oscillators coupled by one resistor

In this paper we investigate the bifurcation phenomena in two Wien-bridge oscillators with the same natural frequency mutually coupled by one resistor. Analysis of coupled oscillator systems have played an very important role in nonlinear science and it is important that the coupled RC oscillator systems are suitable for VLSI implementation in practical applications such as neural networks because they do not include any inductors. In the proposed circuit we can see very complex bifurcation phenomena when the coupling resistance varies which we have not seen in coupled LC oscillator systems. Therefore we believe that this research will play very important role in the various fields concerning nonlinear science.