Synchronization in chaotic oscillators based on classical oscillator coupled by one resistor

We propose the system of the simple chaotic oscillators which are based on Wien-bridge oscillator coupled by one resistor and investigate synchronization in the proposed system. Further, we propose the system of the simple chaotic oscillators which are based on van der Pol oscillator coupled by one resistor. In the system of chaotic oscillators which are based on Wien-bridge oscillator, N-phase synchronization cannot be observed but in-phase and anti-phase synchronization can be observed regardless of N. In synchronization of chaos, these synchronization phenomena are the first observations as far as we know. In case of the system of chaotic oscillators which are based on van der Pol oscillator, N-phase synchronization can be observed. From the results, it is seen that the synchronization of the classical oscillators and that of the chaotic oscillators based on them have common characteristics when classical oscillator is Wien-bridge oscillator or van der Pol oscillator