We develop higher-order nonlinear models of three-stage and five-stage ring oscillators based on a novel inverter model. The oscillation condition and oscillation frequency are derived and compared to classical linear model analysis. Two important special cases for five-stage ring oscillators are also studied. Numerical simulations are shown.

The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, the synchronization of two coupled nonlinear fractional order chaotic oscillators is numerically demonstrated using the master–slave synchronization scheme. It is shown that fractional-order chaotic oscillators can be synchronized with appropriate coupling strength. 2005 Elsevier Ltd. A...

1. AN EXPERIMENT WITH COUPLED OSCILLATORS. We begin with an experiment that requires minimal equipment: you just need your left and right forefingers. To get warmed up, first point your right forefinger in the natural way (we refer to this position as the “equilibrium position”). Next move your right forefinger back and forth in a motion that could be graphed as shown in Figure 1, where the dis...