On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator

We investigate the families of periodic and nonperiodic behaviors admitted by a hysteresis-based circuit oscillator. The analysis is carried out by combining brute-force simulations with continuation methods. As a result of the analysis, it is shown that the existence of many different periodic solutions and of the chaotic behaviors associated with them is organized by few codimension-2 bifurcation points. This implies the possibility of switching between different periodic solutions by controlling only two bifurcation parameters, which makes the oscillator a possible generator of nontrivial periodic solutions suitable, for instance for actual radiofrequency identification systems applications.