A Memristor-Based Colpitts Oscillator Circuit

This paper investigates a simple memristor emulator consisting of a diode bridge and a capacitor. It exhibits pinched hysteresis loops, and what is more striking is the higher frequency, as it operates up to greater than 5 MHz. Based on the proposed memristor, a higher-frequency Colpitts circuit was established. According to the mathematical model of the system, the system only possesses one unstable equilibrium point. Period doubling bifurcation, reverse periodic doubling bifurcation, different types of periodic and chaotic orbits, transient chaos, coexisting bifurcations and offset boosting are depicted. More interestingly, it has coexisting multiple attractors with different topologies, such as a chaotic attractor accompanied with periodic orbits, period-1 orbits with bicuspid structure and periodic-2 orbits with tridentate structure. Moreover, a hardware circuit using discrete components was fabricated and experimental measurements were consistent with the MATLAB numerical results, further confirming the real feasibility of the proposed circuit.

Automated summary

This paper investigates a simple memristor emulator consisting of a diode bridge and a capacitor, and demonstrates its pinched hysteresis loops and higher operating frequency. Through mathematical modeling, it is found that the system only possesses one unstable equilibrium point, and various bifurcations, periodic and chaotic orbits, and coexisting attractors are depicted.