Collective dynamics of coupled nonlinear pendulums under simultaneous external and parametric excitations

International audience; In order to investigate the collective nonlinear dynamics of an array of coupled pendulums under simultaneous external and parametric excitations, a computational model is developed while considering the main sources of nonlinearities. The equations of motion are solved using the harmonic balance method (HBM) coupled with the asymptotic numerical method (ANM). Numerical simulations are performed in the case of two coupled pendulums in order to investigate the complexity of the frequency responses in terms of bifurcation topologies and energy transfer.