Effects of higher nonlinearity on the dynamics and synchronization of two coupled electromechanical devices

The dynamics and synchronization of coupled electromechanical systems with both cubic and quintic nonlinearities are analyzed. A detail attention is carried out to the study of the effects of the introduced quintic nonlinearity on the amplitudes of the harmonic oscillatory states, the stability boundaries of the harmonic oscillations, and on the bifurcation structures. We examine the synchronization phenomena on the unidirectional capacitive and resistive coupled such electromechanical systems both in their regular and chaotic states. The stability of synchronization process is studied follows the Floquet theory and Hill infinite determinant. Numerical simulations confirm and complement the results obtained by the analytical approach.