.... As illustrated here, this is carried out through the introduction of cubic damping in the respective systems. The equations governing the limit-cycle amplitude of the two engines are very similar in form; the inequality b  −  ςω  > 0 proves to be a useful design condition in both cases. However...

... of the sensor. The gain and delay of the feedback signal are chosen such that the base excitations set the beam into stable limit-cycle oscillations as a result of a supercritical Hopf bifurcation of the trivial fixed points. The amplitude of these limit-cycles is shown to be ultrasensitive to parameter...

... of the smooth co-dimension-one bifurcations of the impacting dynamics that emanate from such co-dimension-two points. It is shown that attracting impacting motion may result from parameter variations through a co-dimension-two grazing bifurcation of an initially unstable limit cycle in a nonlinear micro-electro...