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We present a novel mode of operation for Duffing-type nonlinearmicroelectromechanical (MEMS) devices whereby a self-sustained multi-frequencyoutput is generated. This new librator regime creates a limit cycle around adynamical fixed point, i.e. around fixed points within the rotating frame,whereas a traditional oscillator generates a limit cycle around a static fixedpoint. The librator limit cycles thus created do not change the global topologyof the rotating frame phase space, but are constrained by it. Due to theDuffing nonlinearity different types of limit cycles may be generated withinthe same phase space, with each type possessing distinct dynamical features.Transitioning between these limit cycles requires crossing homoclinicbifurcations, which is done without generating chaos as the phase spacedynamics are two dimensional. This work opens the possibility to the creationof a librator network in analogy with oscillator network, however this can bedone in a single MEMS device.

The Librator: A new dynamical regime for nonlinear microelectromechanical devices