A chaos model via relay feedback

The generation of chaos by a linear system with nonlinear feedback has been studied by many researchers. In this paper, a chaotic system using "relay" as nonlinear feedback element is presented. The system is easily analysed by means of the describing function approach, which gives parameter condition leading to chaotic motion. By the bilinear transformation, the proposed system is also shown to be transformed into Brockett proposed chaotic system with piecewise-linear feedback element.