Synchronization of chaos in a pair of forced Rayleigh circuits with diodes

The use of a constrained equation is one of most powerful approaches in the analysis of chaos. In a previous paper (see ibid., vol. 38, no. 4, p. 398-409, 1991) we studied, in detail, chaos in a forced Rayleigh oscillator with a diode, by regarding the diode as a switch. The Poincare map was derived as a one-dimensional (1-D) mapping and, by this mapping, the generation of chaos was explained. In this paper, we study chaos synchronization of a pair of forced Rayleigh oscillators with diodes. By regarding the diodes as switches, chaos synchronization is accomplished very easily, without using a wide frequency band, and is realized in circuit experiments.