Torus breakdown in a two-stroke relaxation memristor

Experimental study of a two-stroke relaxation oscillator (TSO) has enabled to show that this electronic component has the same features as the so-called “memristor”. So, we have used the memristor’s direct current (DC) v M −i M characteristic for modeling the TSO’s DC current-voltage characteristic. This led us to confirm on one hand, that the TSO is a memristor and, on the other hand to propose a new four- dimensional autonomous dynamical system allowing to describe experimentally observed phenomena such as the transition from a limit cycle to torus breakdown.