| Abstract: | A driven second-order negative-resistance oscillator circuit has been observed experimentally to exhibit infinitely many distinct chaotic states in addition to infinitely many subharmonic responses of all orders. Each chaotic state is found to be born out of a devil's staircase whose steps are spaced in accordance with a definite period-adding law. Each devil's staircase emerges at some level of frequency-tuning resolution, where each level is embedded within an outer level, ad infinitum. The global bifurcation structure is self-similar in the sense that upon rescaling, the devil's staircases appear to be clones of each other. |
