Abstract

Symmetry brings beauty, while asymmetry is the general law of nature. This paper reports a novel parallel-type asymmetric memristive diode-bridge (AMDB) emulator, which is implemented by an unbalance diode-bridge linked with a RC filter. Following the voltage constraints of the unbalance diode-bridge, the mathematical model of the parallel-type AMDB emulator is established. Thereafter, the asymmetric property of the hysteresis loops is demonstrated by the numerical simulations and confirmed by the hardware experiments. Furthermore, by importing the parallel-type AMDB emulator into the classical Chua’s circuit, a novel memristive Chua’s circuit is proposed, so that the asymmetric double-scroll chaotic attractor, asymmetric coexisting single-scroll chaotic attractors, and asymmetric coexisting limit cycles can be revealed herein. The parallel-type AMDB emulator enriches the types of memristor emulators and it can mimic the asymmetric property of the physical memristor device.

Highlights

  • Memristor, known as the fourth circuit element, is a dazzling star in electronic circuit fundamentals [1]-[2]

  • Its nano-scale property makes the device occupy exceedingly small layout area in IC application [3], the non-volatile property makes it be well received in neuromorphic circuit and informatics processing [4]-[7], and the nonlinearity property makes it contribute to the generation of abundant and complex dynamical behaviors in memristive chaotic circuits [8]-[12]

  • Kengne et al took the antiparallel semiconductor diodes pair as an asymmetric nonlinear emulator, upon which various asymmetry-induced dynamical behaviors were revealed in several asymmetric chaotic circuits [28][31]

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Summary

INTRODUCTION

Known as the fourth circuit element, is a dazzling star in electronic circuit fundamentals [1]-[2]. A series-type asymmetric memristive diode-bridge (AMDB) emulator was newly proposed by inserting an extra diode into the first bridge arm of diodebridge circuit [32]. The forward voltage required for the bridge arm will be enlarged In this way, a much larger input voltage should be applied in its application circuit, which extremely limits the circuit applications of series-type AMDB emulator. A much larger input voltage should be applied in its application circuit, which extremely limits the circuit applications of series-type AMDB emulator To solve this issue, a novel parallel-type AMDB emulator is proposed in this paper.

CIRCUIT STRUCTURE AND MATHEMATICAL MODEL
MATHEMATICAL MODEL
CONFIRMATION OF VOLTAGE CONSTRAIN
MEMRISTIVE CIRCUIT AND ITS ATTRACTORS
EQUILBRIUM POINT ANSLYSIS
EXPERIMENTAL RESULTS
CONCLUSION
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