Voltages responses and synchronization of an array of Grudzinski and Zebrowski oscillators coupled to an electrical load

Abstract

In this work, we consider a system consisting of an array of Grudzinski and Zebrowski oscillators coupled to an electrical load and analyze the variation of voltages amplitudes and power versus the number of oscillators, the coupling coefficient and the values of the loads. An equivalent electrical circuit of the Grudzinski and Zebrowski oscillator is first proposed. It is then demonstrated that the power in electrical loads (RLC, RL, RC and R) coupled to an array of such oscillator's increases with the number of oscillators till a constant value depending on the types of loads and values of the load parameters. Considering both direct and indirect coupling of an array, synchronization is observed. The synchronization domain is seen to depend on the values of the direct coupling, the value of the indirect coupling and on the number of oscillators in the array.