Synchronization in chains, rings and networks of electromechanical systems

This research deals with the dynamics and synchronization of coupled nonlinear electromechanical devices. Each electromechanical device is a moving coil electromechanical transducer that consists of a forced Duffing electrical oscillator with both cubic and quintic nonlinearities, magnetically coupled to a linear mechanical oscillator. Further, the nonlinear electromechanical system is described by a fractional-order model. The coupling between electromechanical systems consists of a series association of a capacitor and a resistor, leading to dispersive-dissipative coupling. A theoretical analysis of the dynamics of the single electromechanical system is carried out and bifurcation structures are investigated. Detailed attention is granted to the effects of the quintic nonlinearity. It is observed that the parametric domain of stable harmonic oscillations shrinks when the quintic nonlinearity increases. In this case, chaos arises for low values of the amplitude of the external voltage source. The problem of collective dynamics in networks of unidirectionally and mutually coupled electromechanical systems, both in their regular and chaotic states, is considered.