Experimental and analytical investigation of synchronization dynamics of two coupled multivibrators

The present paper investigates the dynamic behavior of a system of two coupled multivibrators. The main results are related to the dynamics of synchronization states. The gradual approach of the system to a stable steady synchronization state is explored both analytically and experimentally, and the necessary conditions for maintaining a stable synchronization are successfully stated. The simple analytical treatment yields implicit results without resorting to approximate mathematical methods. The dynamic behavior of coupled multivibrators is of interest because of its relationship to the dynamics of neural systems. The relevance, however, of this dynamic behavior might be broader since it is demonstrated that the investigated system characteristics are similar to those of coupled sinusoidal oscillators, and hence, they may contribute to a better understanding in the general field of coupled oscillators dynamics.