The work deals with numerical analysis of two coupled nonlinear magneto-electro-mechanical oscillators with permanent magnets attached to them. In comparison to classical coupling by spring/damper elements, we study coupling by means of electric coils connected in series. It allows for coupling at a distance, in contrast to classical way, where the coupled systems must be close to each other. Identification of the system parameters was carried out by using laboratory stands with aerostatic supports. We observed chaotic and regular behavior, including multi-periodic motion regimes, interesting scenarios of the transition between regular and chaotic behavior, etc. Some concepts regarding vibration damping and energy transmission between systems are reported and discussed. By tuning system parameters it is possible to obtain a broader spectrum both of effective damping and more effective energy recovery in the studied system.