Powering RLC load by an array of self-sustained oscillators

This work deals with the analysis of the voltage amplitude generated in a linear load by an array of Van der Pol (VDP) and Hindmarsh-Rose (HR) oscillators. For the array of Van der Pol oscillators, it is found that after a threshold number of oscillators under which the power is equal to zero, the power increases with the size of the array. A high order nonlinearity in the damping of the Van der Pol oscillator increases the power. In the case of the array of HR oscillators, it is shown that varying the coupling coefficient leads to the appearance of chaotic dynamics in the system. Contrary to the case of the VDP oscillators, it is found that the voltage amplitudes decrease when the size of the array of the HR oscillators increases. These results can be linked to the mechanism of biological oscillators powering biological organs.