A Memristor-Based Colpitts Oscillator Circuit

Ling Zhou (), Zhenzhen You, Xiaolin Liang and Xiaowu Li ()
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Ling Zhou: School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China
Zhenzhen You: School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China
Xiaolin Liang: School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China
Xiaowu Li: School of Intelligent Manufacturing, Hunan University of Science and Engineering, Yongzhou 425199, China

Mathematics, 2022, vol. 10, issue 24, 1-16

Abstract: 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.

Keywords: memristor; coexisting multiple attractors; bifurcation; Colpitts oscillator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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