Development of nonlinearly stabilized five-phase oscillator based on partial conservativity

The basic system imbedded in the model described is a partially conservative five-phase oscillator. The property of partial conservativity enables the initially linear oscillator system to possess only one oscillatory mode in steady-state, while another oscillatory mode and the bias mode both decay to zero. As a result, the related nonlinearly stabilized oscillator model is simple. It is shown that this simplicity should contribute to a tractable electronic realization. An analytical treatment of the model is presented and a proof is given to show that the system reaches a stable steady state (a multidimensional limit cycle phenomenon)