Fold-Hopf bifurcation, steady state, self-oscillating and chaotic behavior in an electromechanical transducer with nonlinear control

► Analysis of two nonlinear control laws to reach a prescribed set point. ► Analytical and computational stability analysis of a Fold-Hopf bifurcation. ► Corroboration of self-oscillation conditions by the Krylov-Bogoliubov's method. ► Complete analysis of the chaotic behavior from a computational viewpoint. ► Use of Fold-Hopf bifurcation and chaotic behavior to reach a set point.